€¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd;...

39
juk; - 13 (2016) - khu;r; - 2016 1 ngsjpftpay; - I 01) gpd;tUtdtw;Ws; myif nfhz;l $l;lk; (1) ,, (2) ,, (3) ,, (4) ,, (5) , , 02) xU Jzpf; ifapd; ,af; fj;jpw;fhd Ntf - NeutiuG mUfpy; fhl;lg;gl;Ls;sJ. gpd;tUtdtw;Ws; vt;tiuG mj;Jzpf;if apdJ ,af;fj;jpw;fhd ,lg;ngau;r;rp - Neutiuig tif Fwpf;fpwJ? (1) (2) (3) (4) (5) 03) ,U xypg;gpwg;ghf;fpfspdhy; Fwpj;jnthU Gs;spapy; KiwNa 40 , 50 xypr;nrwpT kl;lq;fis cUthf;fpd;wJ. ,it ,uz;Lk; xNu Neuj;jpy; ,af;fg;gLk; NghJ mf;Fwpj;j Gs;spapy; xypr;nrwpT kl;lk; (log 10 11 = 1.04) (1) 40.4 (2) 90 (3) 50.4 (4) 45.4 (5) 90.4 04) cUtpy; fhl;lg;gl;l rPuhd mlupd; GtpaPu;g;Gikak; gf;fj;jpypUe; J mikAk; fpl;ba J}uk; (1) 2 3 (2) 5 6 (3) (4) 3 4 (5) 4 5 05) Nrdu; ,Uthapapy; vf;fzpaq;fs; Fwpf;fg;gl;bUf;Fk;? A . nrdupDhlhd cah;T kpd;Ndhl;lk; B. nrdupd; cilT mOj;jk; C. nrdu; ,Uthapapd; Kd;Kf Nfhlu; Wif mOj;jk; (1) A kl;Lk; rupahdJ (2) B kl;Lk; rupahdJ (3) C kl;Lk; rupahdJ (4) A Ak; B kl;Lk; rupahdJ (5) B Ak; C kl;Lk; rupahdJ aho;. tyaf; fy;tpj; jpizf;fsj;jpd; mDruizAld; njhz;ilkhdhWntspf;fsepiyak; elhj;Jk; Field Work Centre jtizg; guPl;ir>khu;r; Term Examination, March ,uz;L kzpj;jpahyq;fs juk; :- 13 (2016) ngsjpftpay; - I FWC - 2016 - 2016 www.aswarphysics.weebly.com

Transcript of €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd;...

Page 1: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

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01) gpd;tUtdtw;Ws; 𝑆𝐼 myif nfhz;l $l;lk;

(1) 𝐴, 𝑚, 𝑘𝑔 (2) 𝑘, 𝑚, 𝑠 (3) 𝐴, 𝑚𝑜𝑙, 𝑆

(4) 𝑘, 𝑘𝑔, 𝑚𝑜𝑙 (5) 𝑠, 𝐿, 𝑐𝑑

02) xU Jzpf;ifapd; ,af;fj;jpw;fhd Ntf - NeutiuG mUfpy;

fhl;lg;gl;Ls;sJ. gpd;tUtdtw;Ws; vt;tiuG mj;Jzpf;if

apdJ ,af;fj;jpw;fhd ,lg;ngau;r;rp - Neutiuig tif

Fwpf;fpwJ?

(1) (2) (3) (4) (5)

03) ,U xypg;gpwg;ghf;fpfspdhy; Fwpj;jnthU Gs;spapy; KiwNa 40 𝑑𝐵, 50 𝑑𝐵 xypr;nrwpT

kl;lq;fis cUthf;fpd;wJ. ,it ,uz;Lk;; xNu Neuj;jpy; ,af;fg;gLk; NghJ mf;Fwpj;j

Gs;spapy; xypr;nrwpT kl;lk; (log10

11 = 1.04)

(1) 40.4 𝑑𝐵 (2) 90 𝑑𝐵 (3) 50.4 𝑑𝐵 (4) 45.4 𝑑𝐵 (5) 90.4 𝑑𝐵

04) cUtpy; fhl;lg;gl;l rPuhd mlupd; GtpaPu;g;Gikak; 𝐴𝐵 gf;fj;jpypUe;J mikAk; fpl;ba

Juk;

(1) 2𝑎3⁄ (2)5𝑎

6⁄

(3) 𝑎 (4) 3𝑎4⁄

(5) 4𝑎5⁄

05) Nrdu; ,Uthapapy; vf;fzpaq;fs; Fwpf;fg;gl;bUf;Fk;?

A . nrdupDhlhd cah;T kpd;Ndhl;lk;

B. nrdupd; cilT mOj;jk;

C. nrdu; ,Uthapapd; Kd;Kf Nfhlu;Wif mOj;jk;

(1) A kl;;Lk; rupahdJ

(2) B kl;;Lk; rupahdJ

(3) C kl;;Lk; rupahdJ

(4) A Ak; B kl;;Lk; rupahdJ

(5) B Ak; C kl;;Lk; rupahdJ

aho;. tyaf; fy;tpj; jpizf;fsj;jpd; mDruizAld; njhz;ilkhdhWntspf;fsepiyak; elhj;Jk;

Field Work Centre jtizg; guPl;ir>khu;r;

Term Examination, March

,uz;L kzpj;jpahyq;fs; juk; :- 13 (2016) ngsjpftpay; - I

FWC

- 2016 - 2016

𝑺

𝒕

𝑺

𝒕

𝑺

𝒕

𝑺

𝒕

𝑽

𝒕

𝑽𝒐

𝑽𝒐

𝒕

𝑺

𝒂

𝒂

𝒂𝟐⁄ 𝒂

𝟐⁄

𝒂

𝑨 𝑩

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06) glj;jpy; fhl;lg;gl;Ls;sthW xU gpuNjrj;jpy; kpd;tpirf; NfhLfs; fhzg;gLfpd;wd.

EA, EB, EC vd;gd KiwNa Gs;spfs; A, B, C vd;gdtw;wpy; cs;s kpd;Gyr;

nrwpTfshFk;. gpd;tUtdtw;wpy; rhpahdJ

(1) EA > EB > EC

(2) EA < EB< EC

(3) EA = EB = EC

(4) EA= EC> EB

(5) EA= EC< EB

07) Gwf;fzpf;fj;jf;f ntg;gf; nfhs;ssTila ghj;jpuk; xd;wpDs; 100𝑜 𝐶 ,y; 100 fpuhk; ePu;

cs;sJ. ,jDs; 100 fpuhk; 0𝑜 𝐶 ,y; cs;s gdpf;fl;bia ,Lk; NghJ fyitapd; ,Wjp

ntg;gepiy>

(ePupd; j.nt.nfh = 4200 𝐽 𝑘𝑔−1 𝐾−1> gdpf;fl;bapd; cUfypd; ntg;gk; = 3.36 × 105 J kg−1

MFk;)

(1) 10𝑜 𝐶 (2) 8𝑜𝐶 (3) 4𝑜𝐶 (4) 0𝑜𝐶 (5) −8𝑜𝐶

08) neUf;fw;jftw;wJk; gpRf;Uikaw;wJkhd ghap xd;W mUNf fhl;lg;gl;Ls;s FohapDs;

mUtpf; Nfhl;Lg;gha;r;rypy; cs;sJ. 𝐴, 𝐵,y; cs;s

mKf;fq;fs; njhlu;ghd rupahd $w;WfSs; rupahdJ.

(1) 𝐴ia tpl 𝐵 ,y; epiyapay; mKf;fk; $lthFk;.

(2) 𝐵ia tpl 𝐴 ,y; epiyapay; mKf;fk; $lthFk;.

(3) 𝐵ia tpl 𝐴 ,y; ,af;ftpay; mKf;fk; $lthFk;.

(4) 𝐴ia tpl 𝐵 ,y; nkhj;j mKf;fk; $lthFk;.

(5) 𝐵ia tpl 𝐴 ,y; nkhj;j mKf;fk; $lthFk;.

09) 8 𝑁 fpil tpirnahd;W 6 𝑁 epiwAila Fw;wpnahd;wpw;F glj;jpy;

fhl;lg;gl;Ls;sJ Nghy fulhd epiyf;Fj;J Rtnuhd;Wf;F

nrq;Fj;jhf gpuNahfpf;fg;gLfpwJ. ,f;Fw;wp epiyahapUg;gpd;

,f;Fw;wpapd; kPJ ,r;Rtupdhy; Vw;gLj;jg;gLk; tpirapdJ gUkd;

(1) 14 𝑁 (2) 10 𝑁 (3) 8 𝑁 (4) 2 𝑁 (5) 6 𝑁

10) glj;jpy; fhl;lg;gl;Ls;sthW fhe;j rl;lk; xd;W Gtpfhe;jg;Gyg;; gpuNjrj;jpy;

itf;fg;gl;Ls;sJ. Gtpepiyf;Fj;J fhe;jg;ghatlh;j;jp Gwf;fzpf;fjf;fJ vdpd; eLepiyg;

Gs;sp ngUk;ghYk; fhzg;glj;jf;f Gs;sp

(1) A (2) B

(3) C (4) D

(5) E

11) xUq;Ftpy;iynahd;wpd; kPJgLfpd;w ,U xspf;fjpu;fs;

cUtpw; fhl;lg;gl;Ls;sd. tpy;iyapy; Kwptpd; gpd;du;

,t;tpU xspf;fjpu;fSk; ngUk;;ghYk; re;jpf;Fk; Gs;sp

(1) A (2) B (3) C

(4) D (5) E

v

v

v

v

A B C

𝑨 𝑩

𝟖 𝑵

A

N

S

B C

D tlf ;F

𝑭 𝑭 𝑪 𝑩

𝑨

𝑫 𝑬

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𝑨 𝑩 𝑪 𝑫

12) xU Kid jpwe;jFoha; mbg;gilapYk; ,U KidAk; jpwe;jFoha; mjd; Kjyhk;

Nkw;nwhdpapYk; kPbwd; 𝑓 ,y; gupTWfpd;wd. ,g;NghJ ,U Foha;fspdJk; Kidfs;

xd;whf xl;lg;gl;L Nru;j;jpf; FohahdJ mjputplg;gLfpwJ. ,jd; mbg;gil kPbwd;

(1) 𝑓 (2) 𝑓

2 (3)

𝑓

3 (4)

𝑓

4 (5)

𝑓

5

13) xUftz; ,U rkhe;ju ,wg;gu; ehlhf;fisf; nfhz;lJ. ,e;j ehlhf;fs; 3 𝑐𝑚 My;

ePl;lg;gl;L 15 fpuhk; fy;nyhd;iw epiyf;Fj;jhf vwpag; gad;gLj;jpa NghJ ,J mile;j

kpff;$ba cauk; 15 𝑚 MFk;. 25 fpuhk; fy;nyhd;iw 16 𝑚 cauj;jpw;F vwptjw;F>

ehlhf;fis vt;tstpdhy; ePl;Ljy; Ntz;Lk;?

(1) 1 𝑐𝑚 (2) 2 𝑐𝑚 (3) 4 𝑐𝑚 (4) 6 𝑐𝑚 (5) 8 𝑐𝑚

14) <u;f;fg;gl;l Fwpj;j ePsKila ,io 𝐴𝐷 ahdJ 𝐴𝐵, 𝐵𝐶, 𝐶𝐷 vd;Dk;

%d;W ntt;NtW ePsq;fisAila gFjpfshfg; gpupf;fg;gl;L

mjputplg;gLk; NghJ

gFjp 𝐴𝐵 ,ioahdJ mbg;gil kPbwd; 𝑓1 clDk;

gFjp 𝐵𝐶 ,ioahdJ mbg;gil kPbwd; 𝑓2 clDk;

gFjp 𝐶𝐷 ,ioahdJ mbg;gil kPbwd; 𝑓3 clDk; mjpUfpd;wJ vdpd;. ,io 𝐴𝐷 ,d;

mbg;gil kPbwd;

(1) (√𝑓1 + √𝑓2 + √𝑓3)2 (2) 𝑓1 + 𝑓2 + 𝑓3

(3) (1

𝑓1+

1

𝑓2+

1

𝑓3)

−1

(4) (1

√𝑓1+

1

√𝑓2+

1

√𝑓3)

−2

(5) 𝑓1+𝑓2+𝑓3

2

15) fhl;lg;gl;lRw;wpy; jilfs; xt;nthd;Wk; 3 Ω jil

cilad. nfhs;sstpfs; xt;nthd;Wk; 4𝜇𝐹 nfhs;ssTk;

cilad. (fyk; ,yl;rpakhdJ) fykhdJ 12 𝑉 kp.,.tp.

cilaJk; G+r;rpa cl;jil cilaJkhFk;. Gs;spfs;

𝐴, 𝐵 apw;fpilapy; ,yl;rpa Nthy;w;Wkhdp> mk;gpau;khdp

jdpj;jdpNa ,izf;fg;gLk; NghJ mjd; thrpg;Gf;fs;

(1) 4 𝑉, 1 𝐴 (2) 4𝑉, 1.1 𝐴 (3) 6𝑉, 1 𝐴

(4) 12𝑉 , 1.1 𝐴 (5) 12 𝑉, 1 𝐴 16) 𝐿 ePsKila ePsh ,ioapd; xUEdpapy; xUfy; fl;lg;gl;L ,ioapd; kWEdp gw;wp fy;

epiyf;Fj;J tl;l ,af;fj;ij Mw;WkhW Row;wg;gLfpd;wJ. ,af;fj;jpd; mjpjho; Gs;spapy;

fy;ypd; fjp 𝑢 MFk;. ,io mjpjho; Gs;spapypUe;J fpilahf tUk; NghJ Ntfkhw;wj;jpd;

gUkd;

(1) √𝑢2 − 2𝑔𝐿 (2) √2𝑔𝐿 (3) √𝑢2 − 𝑔𝐿

(4) √2(𝑢2 − 𝑔𝐿) (5) 0

𝟑 𝛀 𝑨

𝟑 𝛀 𝟑 𝛀

𝟏𝟐 𝑽

𝟒𝝁 𝑭 𝟒𝝁 𝑭

𝑩

𝟑 𝛀

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17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r Juj;jpy; Muk;gj;jpYs;sJ. r MdJ

el;rj;jpuj;jpd; MiuAld; xg;gpLk; NghJ kpfg;ngupaJ. mg;nghUis r ypUe;J 2r w;F nfhz;L

nry;y nra;ag;gl;l Ntiy E A+y;fs; MFk;. mg;nghUis 2r ypUe;J 3r w;F nfhz;L nry;y

nra;ag;gl;l Ntz;ba Ntiy J MFk;.

(1) E/3 (2) 2𝐸

3 (3)

3𝐸

2

(4) 𝐸

2 (5) 0

18)

8 𝑘𝑔, 12 𝑘𝑔 Mfpa ,U jpzpTfs; ,U NtWtpjkhf ,Nyrhd ePsh ,io xd;wpdhy;

,izf;fg;gl;L cUf;fspy; fhl;lg;gl;lthW xg;gkhd rha;jsk; xd;wpy; Nky; Nehf;fp 20 𝑁

tpirfs; gpuNahfpf;fg;gLfpd;wJ. rha;jsk; topNaahd ,af;fj;jpd; NghJ

A) ,U re;ju;g;gq;fspYk; jpzpTfis ,izf;Fk; ,ioapYs;s ,Oit 12 𝑁

B) ,U re;ju;g;gq;fspYk; Jzpf;ifapd; Mu;KLfy; 1 𝑚𝑠−2

C) 20 𝑁 tpir mfw;wg;gl;lhy; cU I ,y; 8 𝑘𝑔 jpzpT 12 𝑘𝑔 jpzpit NkhjhJ cU II

,y; 12 𝑘𝑔 jpzpT 8 𝑘𝑔 jpzpit NkhJk;.

NkYs;s $w;Wf;fspy;

(1) A kl;Lk; rup

(2) B kl;Lk; rup

(3) C kl;Lk; rup

(4) A, B, C vy;yhk; rup

(5) A, B, C vy;yhk; ngha;

19) Msp KbAs;s epiyapYs;s npn jpuhd;rp];uh; gw;wpa gpd;tUk; $w;Wfspy; rupahdJ /

rupahdit

A. fhyp - mbr; re;jpahdJ Kd;Kf NfhlYWifapUf;Fk;

B. Nrfupg;ghd; - mbr; re;jpahdJ Kd;Kf NfhlYWifapUf;Fk;

C. Nrfupg;ghDf;Fk; fhypapw;Fk; ,ilapyhd mOj;j NtWghL G+r;rpak;

(1) A kl;;Lk; rupahdJ

(2) B kl;;Lk; rupahdJ

(3) C kl;;Lk; rupahdJ

(4) A Ak; C Ak; kl;;Lk; rupahdJ

(5) A, B, C vy;yhk; rupahdJ

𝟏𝟐 𝒌𝒈

𝑭 = 𝟐𝟎 𝑵

𝟖 𝒌𝒈

𝟑𝟎𝒐

cU𝐈

𝟏𝟐 𝒌𝒈

𝟖 𝒌𝒈

𝑭 = 𝟐𝟎 𝑵

𝟑𝟎𝒐

cU𝐈𝐈

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20) xU cUisahdJ mjdJ miug; gq;F 𝑋 ,y; ,yl;rpa thAitAk;>

kpFjp miug;gq;F 𝑌 ,y; ntw;wplj;ijAk; nfhz;bUf;FkhW jl;L

xd;wpdhy; gpupf;fg;gl;Ls;sJ. jl;lhdJ tpiuthf mfw;wg;gLk; NghJ 𝑋

,y; cs;s thA 𝑌 apDs; Eiofpd;wJ. gpd;tUk; $w;Wf;fSs; kpfr;

rupahdJ / rupahdit

(A) thAtpd; ntg;gepiyFiwAk;

(B) thAtpdhy; Ntiynra;ag;gLk;

(C) thAtpd; cl;rf;jpkhwhJ

(1) 𝐴 kl;Lk; (2) 𝐵 kl;Lk;

(3) 𝐶 kl;Lk; (4) 𝐴, 𝐵 kl;Lk;

(5) 𝐵, 𝐶 kl;Lk;

21)

fhl;lg;gl;l tiyNtiyg;ghl;by; vy;yhk; 𝑅 jilAila 9 jilfs; ,izf;fg;gl;Ls;sd.

𝑥, 𝑦 ,w;fpilapyhd rktYj;jil rkd;.

(1) 𝑅 (2) 3𝑅

5 (3)

𝑅

3 (4)

𝑅

2 (5)

𝑅

9

22) Xu; xUq;Ftpy;iy> xU tpuptpy;iy> ntt;NtW epiyfspYs;s Xu; ,Urkgf;f nrq;Nfhz

mupak; vd;gtw;iw tupg;glq;fs; 𝐴, 𝐵, 𝐶, 𝐷, 𝐸 Fwpf;fpd;wd.

,e;j xspapay; %yq;fis Fwpj;j xOq;FKiwapy;

gad;gLj;Jtjd; %yk; mUfpy; cU I My; fhl;lg;gl;l rkhe;ju

xspf;fjpu;fis cU II My; fhl;lg;gl;lthW khw;wg;gl Ntz;b

As;sJ. ,jw;Fg; gad;glf;$ba rupahd xOq;fikg;G

(1) 𝐴, 𝐵, 𝐶 (2) 𝐴, 𝐶, 𝐸 (3) 𝐴, 𝐶, 𝐷

(4) 𝐶, 𝐷, 𝐸 (5) 𝐴, 𝐵, 𝐷

𝑿 𝒀 ,yl;rpa

thA ntw;wplk;

𝒚

𝑹

𝑹

𝑹

𝑹

𝑹

𝑹

𝑹

𝑹

𝑹

𝒙

𝐈 𝐈𝐈

𝑨 𝑩 𝑪 𝑫 𝑬

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23) fhl;lg;gl;l mOj;jg; gFg;gpapy; kWj;jil 𝑅1 ,d; gUkd; G+r;rpaj;jpypUe;J Kbtpypf;F

mjpfupf;Fk; NghJ 𝑉𝑜 ,d; gUkd; khWtJ

(1) 𝑂 ,ypUe;J 𝑉

2 mjpfupf;Fk;

(2) 𝑂 ,ypUe;J 𝑉 mjpfupf;Fk;

(3) 𝑉

2 ,ypUe;J 𝑂 ,w;F FiwAk;

(4) 𝑉 ,ypUe;J 𝑉

3 ,w;F FiwAk;

(5) 𝑉

2 ,ypUe;J

𝑉

4 ,w;F FiwAk;

24) ,yj;jpudpay; vz;fzpjg; gliyfs; gw;wpa $w;Wf;fspy; rupahdJ.

A) OR gliyapy; ,U ngag;Gf;fSk; cau;thf ,Uf;Fk; NghJ kl;LNk gag;G cah;thFk;.

B) ANDgliyapy; ,U ngag;Gf;fspy; VjhtJ xd;W cau;thFk; NghJ gag;G cau;thFk;.

C) XOR gliyapy; ,U nga;g;Gf;fSk; cau;T/,opT Mf ,Uf;Fk; NghJgag;G cau;thFk;

(1) A kl;Lk; rup (2) B kl;Lk; rup (3) A, B ,uz;Lk; rup

(4) A, B, Cvy;yhk; rup (5) A, B, C vy;yhk; gpio

25) glj;jpy; fhl;lg;gl;Ls;sthW ,yj;jpud; xd;W fhe;jg;Gyj;jpDs; Gyj;jpw;F nrq;Fj;jhd

jpirapy; Eiofpd;wJ. fhe;jg;Gyk; NghJkhd msT gue;Js;snjdpd; mjd; rhpahd

ghijia gpujpepjpg;gLj;JtJ gpd;tUk; glq;fspy;

(1) (2) (3) (4) (5)

26) 𝑚jpzpTk; 𝑟 MiuAKila xU jpz;k cUis 𝜃 rha;Tila xU fluhd rha;jsj;jpy;

tOf;fhky; cUSfpwJ. cUisf;Fk; rha;jsj;jpw;FkpilNaahd cuha;Tf; Fzfk; 𝜇

MFk;. gpd;tUk; $w;Wf;fspy; rupahdJ. (𝐼 =1

2𝑀𝑅2)

(1) cuha;T tpir vg;NghJk; 𝜇 𝑚𝑔 𝑐𝑜𝑠𝜃

(2) ,t;Tuha;T tpirf;F vjpuhf Ntiy nra;ag;gLfpwJ.

(3) cuha;T tpir Neu;Nfhl;L ,af;fj;ij vjpu;f;fpwJ Row;rp ,af;fj;jpw;F cjTfpwJ.

(4) 𝜃 Fiwa cuha;T tpir mjpfupf;Fk;.

(5) cUisapd; Miu mjpfupf;f cuha;T tpir mjpfupf;Fk;. 27)

20 𝑐𝑚 ePsKila xU ,Nyrhd Nfhypd; %idfspy; fl;lg;gl;l 50𝑔 jpzpT> fy;

vd;gtw;wpd; %d;W ntt;Ntwhd rkepiyfs; NkNy cUf;fspy; fhl;lg;gl;Ls;sJ. jputj;jpd;

rhulu;j;jp

(1) 127⁄ (2) 7

12⁄ (3) 914⁄ (4) 14

9⁄ (5) 52⁄

𝑽𝒐 𝟐 𝑹 𝟐 𝑹 𝑹𝟏

𝑹

𝑽

𝟏𝟎 𝒄𝒎 𝟏𝟎 𝒄𝒎 𝟖 𝒄𝒎 𝟏𝟐 𝒄𝒎

𝟓𝟎 𝒈 𝟓𝟎 𝒈 fj ;jpXuk; fj ;jpXuk;

fy; fy;

e Pu ;

𝟏𝟒 𝒄𝒎

𝟓𝟎 𝒈 fj ;jpXuk; fy;

jputk;

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28) tspapYs;s xU gwitf;F Fsnkhd;wpYs;s kPdhdJ epiyf;fFj;jhff; fPNo 𝑆1 Juj;jpy;

,Ug;gjhfj; Njhw;WfpwJ. ,NjNtisapy; mk;kPDf;F gwitahdJ 𝑆2 Juj;jpy; ,Ug;gjhfj;

Njhw;WfpwJ. ePupdJ KwpTr; Rl;b (tspnjhlu;ghf)

(1) 𝑆1

𝑆2 (2)

𝑆2

𝑆1 (3)

𝑆1+𝑆2

𝑆1−𝑆2 (4)

𝑆1+𝑆2

𝑆1 (5)

𝑆1

𝑆1−𝑆2

29) jpzpTika Ntfk; 𝑣 clDk; Nfhzf;fjp 𝜔 clDk; Nfhsk; 𝐴 ahdJ cuha;tw;w xU

fpilj; jsj;jpy; ,aq;FfpwJ. ,J Xa;tpy; cs;s rh;trkkhd 𝐵 vd;Dk; Nfhsj;Jld; kPs;

jd;ik (Neub Nkhjy;) Nkhjyilfpd;wJ. nkhj;jypd; gpd; 𝐴 ,d; Nfhzf;fjp 𝜔𝐴 vdTk; 𝐵

,d; Nfhzf; fjp 𝜔𝐵 Mapd; gpd;tUtdtw;Ws; rupahdJ (vy;yh cuha;T tpisTfisAk;

Gwffzpf;f)

(1) 𝜔𝐴 = 𝜔, 𝜔𝐵 = 0 (2) 𝜔𝐴 = 𝜔𝐵 = 𝜔 (3) 𝜔𝐴 < 𝜔𝐵 < 𝜔

(4) 𝜔𝐴 > 𝜔𝐵 > 0 (5) 𝜔𝐴 = 𝜔𝐵 = 0

30) ,Nyrhd tpw;RUnshd;wpy; xUEdpepiyg;gLj;jg;gl;L mjd; kW Edpapy; jpzpT 𝑀

njhq;ftplg;gl;Ls;sJ. 𝑚 vd;Dk; Nkyjpf jpzpTk; ,izf;fgLifapy; mJ NkYk; 𝑥

vd;Dk; ePl;rp milfpwJ. ,g;NghJ Nru;j;jpj; (M+m) jpzpthdJ rpwpa epiyf;Fj;J

miyTfis Mw;wr; nra;ag;gLfpwJ. ,t;tiytpd; miyTfhyk;

(1) √𝑀𝑔

𝑥(𝑀+𝑚)

2𝜋 (2) √

𝑥(𝑀+𝑚)

𝑚𝑔

2𝜋 (3)

𝜋

2√

𝑀𝑔

𝑥(𝑀+𝑚)

(4) √𝑀+𝑚

𝑀𝑔𝑥

2𝜋 (5) √

𝑀𝑔

𝑥(𝑀+𝑚)

2𝜋

31) 𝐴, 𝐵 vd;Dk; ,U Fkpo;fs; xU xLq;fpa jpwe;j Fohapdhy;

,izf;fg;gl;Ls;sd. Fkpo; 𝐴 MdJ Fkpo; 𝐵 I Nghd;W

%d;W klq;F fdtsT cilaJ. ,j;njhFjpapDs; ,yl;rpa

thA epug;gg;gl;L Fkpo; 𝐴 300𝐾 ntg;gepiyapYk;> Fkpo;

𝐵 600𝐾 ntg;gepiyapYk; ,Uf;f cWjpepiyapy; itf;fg;gl;Ls;sd. Fkpo; 𝐴 apYs;s

thAtpd; jpzpT 𝑚 vdpd; Fkpo; 𝐴 ,d; ntg;gepiy khwhjpUf;f Fkpo; 𝐵 ,d; ntg;gepiy

400𝐾 ,w;F FiwAk; NghJ Fkpo; 𝐴 apypUe;J Fkpo; 𝐵 ,w;F nry;Yk; thAtpd; jpzpT

(1) 𝑚

12 (2)

𝑚

6 (3)

𝑚

4 (4)

𝑚

3 (5)

𝑚

15

32) caph;g;G epiyapYs;s npn jpuhd;rp];uh; gw;wpa gpd;tUk; $w;Wfspy; rupahdJ / rupahdit

A - Nrfupg;ghd; kpd;Ndhl;lk; mA ,y; ,Uf;Fk;

B - mb - fhypapw; ,ilNaahd mOj;jkhdJ mz;zsthf 0.7V

C - mb kpd;Ndhl;lk; µA ,y; ,Uf;Fk;

(1) A kl;;Lk; rupahdJ

(2) B kl;;Lk; rupahdJ

(3) C kl;;Lk; rupahdJ

(4) A Ak; C Ak; kl;;Lk; rupahdJ

(5) A, B, C vy;yhk; rupahdJ

𝑨 𝑩

𝟔𝟎𝟎𝒌 𝟑𝟎𝟎𝒌

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33)

mOj;jkhd fpilNkir xd;wpd; kPJ xd;iw xd;W Nehf;fp 2 𝑚 jpzpTila Nfhsk; 𝐴

MdJ 𝑉 vd;Dk; Ntfj;JlDk; 𝑚 jpzpTila Nfhsk; 𝐵 MdJ 2𝑉 vd;Dk Ntfj;JlDk;.

,aq;FfpwJ. ,t;tpU Nfhsq;fSk; NkhJfpd;wjhapd; ,t;tpU Nfhsq;fspdJk; Neuk; (𝑡)

cld; ce;jk; (𝑝) ,d; khwiy fhl;Lk; rhj;jpakhd tiuG

(1) (2) (3)

(4) (5)

34) xU Fwpg;gpl;l egUf;F mtuJ fz;fspypUe;J 0.75 𝑚 ,w;Fk; 1.8 𝑚 ,w;Fk; ,ilNa

nghUl;fs; ,Uf;Fk; NghJ khj;jpuNk nghUl;fisj; njspthfg; ghu;f;f Kbfpd;wJ.

Jug; nghUl;fisj; njspthfg; ghu;g;gjw;F gpd;tUk; tpy;iyfspy; vit ,tUf;F kpfg;

nghUj;jkhdjhFk;?

(1) 0.75 𝑚 Ftpa ePsKila FopTtpy;iy

(2) 0.75 𝑚 Ftpa ePsKila FtpTtpy;iy

(3) 1.8 𝑚 Ftpa ePsKila FopTtpy;iy

(4) 1.8 𝑚 Ftpa ePsKila FtpTtpy;iy

(5) 1.275𝑚 Ftpa ePsKila FopTtpy;iy

35) NeNuhl;l (cWjpahd) caHkpd; mOj;j

NtWghl;bw;F FWf;Nf ,izf;fg;gl;l ,U rkhe;ju

flj;Jk; jl;lq;fSf;F ,ilNa glj;jpy;

fhl;lg;gl;lthW jl;LfSf;Fr; rkhe;jukhf Njhl;L

fw;iw xd;W mDg;gg;gLfpd;wJ. ,tw;wpy; mjd;

ghijia jpwk;gl Fwpg;gJ?

(1) A (2) B

(3) C (4) D

(5) fhl;lg;gl;lvJTkd;W

𝟐 𝒎 𝒎

𝑨 𝑩

𝑽 𝟐𝑽

𝑷

𝒕

𝑨

𝑩

𝑷

𝒕

𝑨

𝑩

𝑷

𝒕

𝑨

𝑩

𝑷

𝒕

𝑨

𝑩

𝑷

𝒕

𝑨

𝑩

A

B

C

D www.aswarp

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36) xNu gjhu;j;jj;jhyhd ru;trkkhd ,uz;L Nfhy;fs; Kidf;F Kid njhluhf

,izf;fg;gl;L Fwpj;j ntg;gepiy tpj;jpahrj;jpw;F FWf;Nf itf;fg;gl;L Fwpj;jsT

ntg;gkhdJ 4 epkplj;jpy; Nfhs;fspDlhfg; gha;fpd;wJ. ,f;Nfhs;fs; mNj ntg;gepiy

tpj;jpahrj;jpw;F FWf;Nf rkhe;jukhf ,izf;fg;gl;L mNjasT ntg;gkhdJ

,f;Nfhy;fspDlhfg; gha;tjw;F vLf;Fk; Neuk; rkd; (epkplq;fspy;)

(1) 1 epkplk; (2) 2 epkplq;fs; (3) 8 epkplq;fs;

(4) 16 epkplq;fs; (5) 0.25 epkplq;fs;

37) ntg;gepiykhw;wq;fs; fhuzkhf milj;j miw xd;wpd; njhlu;G

<ug;gjd; (𝑅𝐻) Neuk; (𝑡) cld; khWk; tiuG fPNo fhl;lg;

gl;Ls;sJ. Neuk; (𝑡) cld; miwapDs; cs;s ntg;gepiy (𝜃)

,d; rpwe;j khwiyg; gpd;tUk; tiuGfspy; vJ / vit jpUj;jkhf

tif Fwpf;Fk;?

(a) (b) (c)

(1) 𝐴 kl;Lk; (2) 𝐶 kl;Lk; (3) 𝐴, 𝐵 kl;Lk;

(4) 𝐵, 𝐶 kl;Lk; (5) 𝐴, 𝐵, 𝐶 vy;yhk;

38) nraw;ghl;L tpupayhf;fpapd; jpwe;j jlmOj;j NtWghl;L eak; 105 MFk;. ± 12V Md

,ul;il toq;fpapd; %yk; Vfgupkhz tpupahf;fj;ijg; ngWtjw;F ,Uf;f Ntz;ba ngag;G

Nthy;w;wpd; tPr;R

(1) −12µ𝑉 ,ypUe;J +12µ𝑉 tiu

(2) −120µ𝑉 ,ypUe;J +120µ𝑉 tiu

(3) −1.2µ𝑉 ,ypUe;J +1.2µ𝑉 tiu

(4) −12𝑉 ,ypUe;J +12𝑉 tiu

(5) −120𝑉 ,ypUe;J +120𝑉 tiu

39) miwntg;gepiy 30𝑜𝐶 MfTs;s Xh; ehspy; Mspaplg;glhj Fspu;rhjdg; ngl;bapDs;Sk;

mNj ntg;gepiy fhzg;gLfpwJ. ,jd; mjpAau; Fspuhf;Fk; gFjpapy; 30𝑜𝐶 ,Ys;s ePu;>

Kfit xd;wpDs; itf;fg;gl;L Mspaplg;gLfpwJ. ,e;ePu; gdpf;fl;bahf khWk; jpzpT tPjk;

(𝑅) MdJ Neuk; (𝑡) cld; khWk; tiuig rpwe;j Kiwapy; tif Fwpg;gJ>

(𝑡 = 0 ,y; Mspaplg;gLfpwJ vdf; nfhs;f)

(1) (2) (3) (4) (5)

𝟎 𝟎 𝟎 𝟎 𝟎 𝒕 𝒕 𝒕 𝒕

𝑹 𝑹 𝑹 𝑹 𝑹

𝑹𝑯

𝟎 𝒕

(𝑨) 𝟎 𝒕

𝜽

𝟎 𝒕 (𝑪)

𝜽

𝟎 𝒕 (𝑩)

𝜽

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40) fhw;whdJ fpof;fpypUe;J Nkw;Fj; jpir topNa 40 𝑚𝑠−1 fjpAld; rPuhf tPRk; xU ehspy;

Nkw;fpypUe;J fpof;F topNa 30 𝑚𝑠−1 fjpAld; xU thfdk; ,aq;Ffpd;wJ. ,NjNtisapy;

mk;Gyd;]; tz;bnahd;W thfdj;jpw;F Kd;dhy; 20 𝑚𝑠−1 fjpAld; fpof;Fj; jpiria

Nehf;fp ,aq;FfpwJ. ,e;j mk;Gyd;]; tz;bahdJ 1400 𝐻𝑧 kPbwDld; xypiag;

gpwg;gpf;fpd;wJ. mirahj tspapy; xypapd; Ntfk; 330 𝑚𝑠−1 MFk;. thfdr; rhujpf;F

Nfl;Fk; kPbwd; mz;zsthf

(1) 1440 𝐻𝑧 (2) 1600 𝐻𝑧 (3) 1700 𝐻𝑧 (4) 1800 𝐻𝑧 (5) 2000 𝐻𝑧

41) Nfhs tbtkhd kioj;Jsp xd;W khwhf;fjp 𝑉𝑜 cld; ,aq;FfpwJ. gpd;du; mj;Jsp ,U

ru;trkdhd Jspfshf cilfpd;wJ cile;j ,UJspfSk; khwhf;fjpia milfpd;wd.

Neuk; (𝑡) cld; kioj; Jspapd; Ntfk; (𝑉) ,d; khwiy kpfr; rpwe;j tpjj;jpy; tiff;

Fwpg;gJ.

(1) (2) (3)

(4) (5)

42)

mfj;jil Gwf;fzpj;jf;fJk; 12 𝑉 kp.,.tp. cila fyj;ij Kjd;ikf; fykhf nfhz;l

mOj;jkhdp Rw;W fhl;lg;gl;Ls;sJ. ,jd;NghJ rkepiy ePsk; 40 𝑐𝑚 MFk;. jil 𝑅 xd;W

Kjd;ikf; fyj;Jld; njhluhf ,izf;fg;gl;l NghJ rkepiy ePsk; 120 𝑐𝑚 Mf

mjpfupj;jJ. mOj;jkhdpf; fk;gpapd; jil rkd;?

(1) 𝑅

(2) 𝑅

2

(3) 2 𝑅

(4) 2𝑅

3

(5) 𝑅

3

𝟏𝟐 𝐕

𝐫 = 𝟎

𝓵

𝐄

𝐀 𝐁

𝐆

𝐕 𝐕 𝐕

𝐕𝐨 𝐕𝐨

𝐭 𝐭 𝐭 𝟎 𝟎 𝟎

𝐕𝐨

𝐕

𝐕𝐨

𝐭 𝟎

𝐕

𝐕𝐨

𝐭 𝟎

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43) fhl;lg;gl;l Rw;wpy; 150𝜇𝐹 nfhs;sstpy; Nrkpf;fg;gl;l Vw;wk;

(1) 150 𝜇𝐶

(2) 325 𝜇𝐶

(3) 525 𝜇𝐶

(4) 1800 𝜇𝐶

(5) G+r;rpak;

44) glj;jpy; fhl;lg;gl;Ls;sthW 𝐴, 𝐵 vd;Dk; KiwNa 3 𝑘𝑔 , 2𝑘𝑔

jpzpTfisf; nfhz;Ls;s Fw;wpfs; xg;gkhd epiyahd fg;gp kPJ

nry;Yk; ,Nyrhd ,ioapdhy; ,izf;fg;gl;L tpLtpf;fg;gLfpd;wd.

Fw;wp 𝐵 MdJ +5𝐶 kpd;Ndw;wj;ijf; nfhz;Ls;sJ. Fw;wp A

eLepiyahdJ. mj;Jld; epiyf;Fj;jhf fPo;Nehf;fpa jpirapy; 4 𝑁𝐶−1

kpd;Gyr; nrwpTk; mg;gpuNjrj;jpy; fhzg;gLfpd;wJ. ,ioapy;

fhzg;gLk; ,Otpir gpd;tUtdtw;wpy;

(1) 24 N (2) 12 N (3) 48 N (4) 36 N (5) 20 N

45)

glj;jpy; fhl;lg;gl;lthW nky;ypa 50 𝑐𝑚 ePsKilaJk; 750 𝑔 jpzpitf; nfhz;lJkhd

(Gwf;fzpf;fj;jf;f jilAs;s) flj;Jk; Nfhy; xd;W ,U cNyhfj; jhq;fpfspd; kPJ

itf;fg;gl;bUf;f 0.450 𝑇 fhe;jg;gha mlu;j;jpiaAila fhe;jg;Gyg; gpuNjrj;jpy; rkepiyapy;

fhzg;gLfpd;wJ. cNyhfj; jhq;fpfs; 25 𝑉 kpd;dpaf;ftpiriaAk;; Gwf;fzpf;fjf;f

cl;jiliaAilAJkhd kpd;fyj;jpw;Fk; 25Ω jilapw;Fk; njhluhf ,izf;fg;gl;Ls;sJ.

Rw;wpy; cs;s kpd;Ndhl;lj;ijj; Jz;bg;gjw;F kpd;fyk; nfhz;bUf;f Ntz;ba mjpFiwe;j

kpd;dpaf;f tpir ahJ?

(1) 500 V (2) 2000

3 V (3)

2500

3 V (4) 1000 V (5)

3500

3 V

46) glj;jpy; fhl;lg;gl;Ls;sthW khwhjjil xd;Wld; ntg;gj;jilap

njhluhf ,izf;fg;gl;bUf;f khwhj; jilapf;F FWf;Nf nfhs;sstp

xd;W ,izf;fg;gl;Ls;sJ. njhFjp Gwf;fzpf;fjf;f jiliaAila

kpd;fyk; xd;Wld; ,izf;fg;gl;Ls;sJ. ntg;gj;jilapd; ntg;gepiy

kl;Lk; khWfpd;wJ. vdpd; nfhs;sstpapy; Nrkpj;J itf;fg;gl;Ls;s

kpd;Ndw;wj;jpd; gUkd; ntg;gepiyAld; nfhz;Ls;s khwiy

fhl;Lfpd;w tiuG

(1) (2) (3) (4) (5)

A

g

B

Q

𝜃

Q

𝜃

Q

𝜃

Q

𝜃

Q

𝜃

𝟏𝟎𝟎𝝁𝑭 𝟓 𝛀

𝟐 𝛀 𝟓 𝛀 𝟏𝟓𝟎𝝁𝑭

𝟔 𝑽

𝒓 = 𝟎

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juk; - 13 (2016) - khu;r ; - 2016 12 ngsjpftpay; - I

47) A, B vd;gJ KiwNa a, b Miufisf; nfhz;l xU ikaf;

flj;Jk; Nfhs XLfshFk;. ntspNahl;bw;F kpd;Ndw;wk; Q

toq;fg;gLfpd;wJ. cs;NshL Msp S xd;wpDhlhf Gtpf;F

,izf;fg;gl;Ls;sJ. Msp S ,izf;fg;gLk; NghJ mjDhlhf

gha;e;j Vw;wj;jpd; gUkd; ahJ?

(1) 𝑎

𝑏 Q (2)

𝑏

𝑎 Q (3) ab Q (4) b Q (5) a Q

48) Kbtpyp ePsq; nfhz;lJk; NehpaJkhd flj;jp xd;W kpd;Ndhl;lk; xd;iwf; fPo;Nehf;fpf;

fhTifapy; mjdhy; fpilj;jsnkhd;wpy; cUthFk; fhe;jg;Gyf; NfhLfspd; tbtikg;ig

fz;lwptjw;fhf ehd;F fhe;j Crpfs;; glj;jpy; fhl;bathW itf;fg;gl;Ls;sd. ,q;F tlf;F

Nehf;fpa jpirapy; kl;ilapd; fpilj; jsj;jpy; Gtpf;fhe;jg;GyKk; njhopw;gLfpd;wJ.

fhl;bfspd; rhpahd mikg;igf; fhl;LtJ? (Gtpf;fhe;jg;Gyk; xg;gplf; $baJk; MFk;)

(1) (2) (3) (4) (5)

49)

nghs; cUis tbt ghj;jpunkhd;W fpilj; jiuapy; L ePsKs;s gyifnahd;wpdhy;

js;sg;gLfpwJ. ghj;jpukhdJ jiuapy; Kd;Ndhf;fp 𝐿

2 Jhuk; cUz;lNghJ kdpjd; mire;j

Jhuk; (ghj;jpukhdJ njhLGs;spfspy; tOf;ftpy;iy)

(1) L (2) L/2 (3) 3L/4 (4) L/4 (5) 2L

50) xU fpilahd Roy; Nkil r MiuAila jl;L tbtpy;

mike;jJ. ,J xU Jtf;F (Gun) G ,id fhTfpd;wJ. ,J

ikak; O gw;wp 0 Nfhz Ntfj;Jld; Roy;fpd;wJ. Jtf;F

MdJ m jpzpTila rd;dj;jpid njhlyp top V Ntfj;Jld;

(Jtf;F rhu;ghf) RLfpd;;wJ. NfhzNtfj;jpy; Vw;gLk; xj;j

mjpfupg;G MdJ (Io MdJ NkirapdJk; Jtf;fpdJk; O gw;wpa

rlj;Jt jpUg;gk; MFk;)

(1) Io

mvr

2 (2)

𝑚𝑣𝑟

𝐼0−𝑚𝑟2 (3) Io

mvr2 (4)

2mrIo

mvr

(5)

Io

mvr

s

A

B

tlf;F

𝑽

𝑶

𝝎𝟎

𝑮

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juk; - 13 (2016) - khu;r ; - 2016 1 ngsjpftpay; - II(A)

gFjp - II A

mikg;Gf; fl;Liu tpdhf;fs;

ehd;F tpdhf;fSf;Fk; tpilfis ,j;jhspNyNa vOJf.

01) (a) 𝑈 −Fohiag; gad;gLj;jp Njq;fha; vz;izapd; rhu; mlu;j;jp (𝑠𝑜𝑖𝑙) Jzptjw;fhf

khztd; xUtd; gFjpahf xOq;F nra;j mikg;gpid cU I ,y; fhl;lg;gl;Ls;sJ.

ckf;Fj; Njitahd msT ePUk; jug;gl;Ls;sJ. 𝑈 − Fohapd; FWf;Fntl;L Kfj;jpd;

gug;gsT 1 𝑐𝑚2 ePupd; mlu;j;jp 𝜌𝑤 = 1000𝑘𝑔𝑚−3

i) Kiwahd gupNrhjid Vw;ghLfis Nkw;nfhz;lhy; 𝐴

,dhy; Fwpf;fg;gLk; jputk; ahJ?

.............................................................................................................................

ii) gupNrhjid Vw;ghL Kiwahf Nkw;nfhs;sg;gl;bUe;jhy;

jput epuypd; rjtPj tO 1% ,Yk; Nkw;glhky; ,Uf;f

Muk;gj;jpy; Nru;f;f Ntz;ba ,uz;lhtJ jputj;jpd; ,opT

fdtsT ahJ?

.............................................................................................................................

.............................................................................................................................

iii) tiuG Kiwiag; gad;gLj;jp Njq;fha; vz;izapd; rhulu;j;jpia Jzptjw;fhd

Nfhitia vOJf. (ePu; epuypd; cauk; ℎ𝑤 Njq;fha; vz;iz epuypd; cauk; ℎ𝑜𝑖𝑙

vd vLf;f)

................................................................................................................................................................................

iv) Njq;fha; vz;izapd; rhulu;j;jpia (𝑠𝑜𝑖𝑙) Jzptjw;fhd tiuig gUk;gbahf

fPNo tiuf. (mr;Rf;fis njspthf Fwpf;f)

v) gFjp (i) ,y; Fwpf;fg;gLk; jputj;jpw;F gjpyhf kw;iwa

jputk; tplg;gl;L gupNrhjid khztd; Nkw;nfhs;thdhapd;

jput epuy;fis mUfpYs;s glj;jpy; Fwpj;Jf; fhl;Lf.

aho;. tyaf; fy;tpj; jpizf;fsj;jpd; mDruizAld; njhz;ilkhdhWntspf;fsepiyak; elhj;Jk;

Field Work Centre jtizg; guPl;ir> khu;r;

Term Examination, March

%d;W kzpj;jpahyq;fs; juk; :- 13 (2016) ngsjpftpay; - II

FWC

- 2016 - 2016

𝑨

cU 𝐈

cU 𝐈𝐈

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juk; - 13 (2016) - khu;r ; - 2016 2 ngsjpftpay; - II(A)

(b) NtnwhU khztd; Vaupd; Ma; fUtpiag; gad;gLj;jp tiuG Kiw %yk; NtWnwhU

jputnkhd;wpd; rhulu;j;jpia Jzptjw;fhd gupNrhjid Vw;ghLfis Nkw;nfhs;fpd;whd;.

i) ,k; khztd; 𝑈 −Fohiag; gad;gLj;jhky; Vaupd; Ma; fUtpiag; gad;gLj;jpa

ikf;fhd fhuzk; ahjhf ,Uf;fyhk;?

...................................................................................................................................................................................

...................................................................................................................................................................................

ii) Vaupd; Ma; fUtpiag; gad;gLj;jp jputnkhd;wpd; rhulu;j;jpia re;jpudpy;

Nkw;nfhs;s KbAkh? Vd;?

...................................................................................................................................................................................

...................................................................................................................................................................................

iii) khztd; Vw;ghL nra;j gupNrhjid mikg;ig fPNo tiue;J cgfuzq;fis

njspthfg; ngaupLf.

iv) khztd; ngWk; ,U fzpaq;fs;; ℎ1, ℎ2 ,id NkNy ePu; tiue;j gupNrhjid

mikg;gpy; Fwpj;Jf; fhl;Lf.

v) ℎ1 ,w;fhf khztd; ngWk; mstPLfs; ahJ? mjw;fhf khztd; Nkw;nfhs;Sk;

gupNrhjid Kiwia (glj;jpd;) cjtpAld; tpsf;Ff.

...................................................................................................................................................................................

...................................................................................................................................................................................

...................................................................................................................................................................................

02) gupTWk; tspepuiyg; gad;gLj;jp tspapy; xypapd; fjpiaj;

Jzptjw;F Ma;T$lj;jpy; gad;gLj;jg;gLk; gupNrhjid

xOq;fikg;gpd; gFjp tupg;glk; fhl;lg;gl;Ls;sJ. 256 𝐻𝑧,

286 𝐻𝑧, 400 𝐻𝑧, 432 𝐻𝑧, 412 𝐻𝑧 kPbwd;fs; nfhz;l ,irf;

ftu;j;njhFjp jug;gl;Ls;sJ.

A (ePsk; 50 𝑐𝑚, tpl;lk; 0.5 𝑐𝑚)

B (ePsk; 50 𝑐𝑚, tpl;lk; 2 𝑐𝑚)

C (ePsk; 20 𝑐𝑚, tpl;lk; 2.5 𝑐𝑚) vd;Dk; %d;W ,UKidAk;

jpwe;j fz;zhbf; Foha;fspy; xd;iw njupT nra;a KbAk;.

(a) 𝐴, 𝐵, 𝐶vd;gtw;wpy; vjid ePu; njupT nra;tPu;?

fhuzk; $Wf.

............................................................................................................................................................................................

............................................................................................................................................................................................

............................................................................................................................................................................................

jpwe;j fz;zhbf; Foha;

ePz;l rhb www.as

warphy

sics.w

eebly

.com

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juk; - 13 (2016) - khu;r ; - 2016 3 ngsjpftpay; - II(A)

(b) mjpUk; ,irf; ftUld; mbg;gilg; gupTepiyapy; gupNrhjidia Nkw;nfhs;SkhW

ckf;F mwpTWj;jg;gl;Ls;sJ. ,f;Fwpj;j gupTepiyapy; gupNrhjid nra;tjpYs;s

(i) Foha; njhlu;ghd (ii) mtjhdp njhlu;ghd xt;nthU mD$yj;ijf; $Wf.

Foha; njhlu;ghdJ : .........................................................................................................................................

mtjhdp njhlu;ghdJ : .........................................................................................................................................

(c) gFjp (b) ,y; Fwpg;gplg;gl;l gupTepiyf;F xj;j epiyaiyf; Nfhyj;ijj; jug;gl;l

tupg;glj;jpy; tiuf. ,irf;ftupd; epiy> Kidj;jpUj;jk; vd;gd fhl;lg;gly; Ntz;Lk;.

(d) ,g;gupNrhjidia Nkw;nfhs;Sk; NghJ ,irf;ftupd; kPbwd; ,wq;Ftupirapy; thrpg;G

vLg;gJ trjpahdnjd ckJ ez;gu; Fwpg;gpLfpd;whu;. ,f;$w;iw epahag;gLj;Jtjw;F

xU fhuzj;ijf; $Wf.

............................................................................................................................................................................................

(e) mbg;gilg; gupTepiyiag; ngWtjw;Fupa gupNrhjidr; nrad;Kiwiaf; Fwpg;gpLf.

............................................................................................................................................................................................

............................................................................................................................................................................................

(f) Fohapd; Kidj; jpUj;jk; 𝑒 vdf; nfhz;L tspapy; xypapd; fjp 𝓋 I kPbwd; 𝑓,

mbg;gilg; guptpw;Fupa Fohapd; ePsk; ℓ rhu;ghf vOJf.

............................................................................................................................................................................................

(g) gFjp (f) ,y; ngwg;gl;l rkd;ghl;il Neh;Nfhl;L tiugpw;Fupa tbtj;jpy; xOq;FgLj;Jf.

............................................................................................................................................................................................

............................................................................................................................................................................................

............................................................................................................................................................................................

(h) ntt;NtW 𝑓 cld; ngwg;gl;l ℓ ,d; ngWkhdq;fisf; nfhz;L ePu; ngw cj;Njrpf;Fk;

gUk;gb tiuig mUfpYs;s mr;Rfspy; tiuf. mr;Rf;fisg; ngaupLf.

(i) ntg;gepiy kpfTk; jho;thff; fhzg;gLk; gpwpnjhU ,lj;jpy; ,g;gupNrhjidia ,Nj

,irf; ftu;fSld; kPsr; nra;jpUg;gpd; gFjp (h) ,y; vjpu;ghu;f;fg;gl;l tiuig mNj

mr;Rfspy; tiuf> ,t;tiuig 𝑋 vdf; Fwpg;gpLf.

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juk; - 13 (2016) - khu;r ; - 2016 4 ngsjpftpay; - II(A)

03) gdpf;fl;bapd; cUfypd; jd;kiw ntg;gk; Jzptjw;fhd gupNrhjidnahd;wpy; xUkhztdpd;

nrad;Kiwfs; fPNo jug;gl;Ls;sd.

gupNrhjid - 1 :-

(i) Kjypy; miwntg;gepiyia mse;jhd; mJ 30𝑜𝐶 Mf ,Ue;jJ.

(ii) fNyhupkhdp xd;wpDs; fzprkhd msT Fspu;ePiu vLj;J mjd; jpzpT 𝑀1 I

mse;jhd;.> ePupd; ntg;gepiy 25𝑜𝐶 vd mse;J mwpe;J nfhz;lhd;;.

(iii) ePiu ntg;gg;gLj;j Njitahd kpd;Rw;iw mikj;J gpd; Mspia %b (ON) ePupd;

ntg;gepiy 25𝑜𝐶 ,ypUe;J 35𝑜 𝐶 ,w;F cau vLj;j Neuk; 𝑡 I mse;jhd;.

(iv) gupNrhjidapd; NghJ kpd;Ndhl;lj;ij khwhJ itj;J Nthy;w;Wkhdpapd; thrpg;G 𝑉,

mk;gpau;khdpapd; thrpg;G 𝐼 vd;gtw;iwf; Fwpj;jhd;.

gupNrhjid - 2 :-

gpd; 35𝑜 𝐶 ,Ys;s ePiu nfhz;l fNyhupkhdpapDs; ,opT ntg;gepiy 25𝑜𝐶 tUk;

tiu gdpf;fl;bj; Jz;Lfis ,l;L (,opT ntg;gepiy 25𝑜𝐶 MFk; tiu) ed;whf

fyf;fp ,opT ntg;gepiy 25𝑜𝐶 vd mse;jhd;. ,Wjpahf fNyhupkhdpapdJk;

cs;slf;fj;jpdJk; jpzpT 𝑀2 I mse;jhd;.

(a) ,g; gupNrhjidapy; khztd; kpd;Ndhl;lj;ij khwhky; itj;jpUg;gjd; Nehf;fk;

ahJ?.

...................................................................................................................................................................................

...................................................................................................................................................................................

(b) i) khztd; nra;j ,U gupNrhjidfspYk; #oYf;fhd ntg;g ,og;G ,opthf;fg;

gl;Ls;sJ. tpsf;Ff.

gupNrhjid 1 :- ....................................................................................................................................

....................................................................................................................................

gupNrhjid 2 :- ....................................................................................................................................

....................................................................................................................................

ii) gdpf;fl;bj; Jz;Lfis ,Lk;NghJ Nkw;nfhs;s Ntz;ba Kw;fhg;Gf;fisf;

Fwpg;gpLf.

a) ...................................................................................................................................................................

b) ...................................................................................................................................................................

iii) gdpf;fl;bfis ePUld; fyf;Ftjw;F tiyAila fyf;fp gad;gLj;jg;gLfpwJ.

,jw;fhd fhuzj;ij jUf?.

.........................................................................................................................................................................

.........................................................................................................................................................................

(c) i) gupNrhjidapd; NghJ mk;gpau;khdpapd; thrpg;G tPo;r;rpailfpwJ. ,jw;fhd

fhuzq;fisj; jUf.

.........................................................................................................................................................................

.........................................................................................................................................................................

ii) kpd;Ndhl;lj;ij khwhJ NgZtjw;fhf kpd;Rw;wpy; vd;d kpd;dpay; $W

nghUj;jg;gl;bUf;Fk;? ..........................................................................................................................

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(d) i) ePupd; jd;ntg;gf; nfhs;ssT 𝑆𝑤 vdpd;; ngwg;gl;l thrpg;Gf;fspd; mbg;gilapy;

gdpf;fl;bapd; cUfypd; kiwntg;gk; 𝐿 ,w;fhd Nfhitia vOJf.

(#oYf;fhd ntg;g ,lkhw;wk; G+r;rpak; vdf; nfhs;f)

...................................................................................................................................................................................

...................................................................................................................................................................................

ii) ,g; gupNrhjidapy; 𝑉 = 4𝑉, 𝐼 = 5𝐴, 𝑡 = 220𝑠, 𝑀1 = 100𝑔, 𝑀2 = 110𝑔 vdpd;

gdpf;fl;bapd; cUfypd; jd; kiwntg;gj;ijj; Jzpf.

...................................................................................................................................................................................

...................................................................................................................................................................................

...................................................................................................................................................................................

(e) Ma;T$lj;jpy; nra;ag;gLk; fyitKiw gupNrhjidia tpl ,g; gupNrhjidapy; cs;s

Kf;fpakhd ed;ik ahJ?

............................................................................................................................................................................................

04) (a) G+uzg;gLj;j glhj kPw;wu; ghyr;Rw;W glj;jpy; fhl;lg;gl;Ls;sJ.

i) Gs;spNfhl;bDs; tuNtz;ba Rw;wpd; gFjpia tiuf.

ii) Gs;spNfhl;bDs; gad;gLj;jg;gLk; gFjpapd; mD$yk; ahJ?

................................................................................................................................................................................

iii) ,q;F xg;gplg;gLk; my;yJ (ghyq;fspd; ,lf;if, tyf;if ntspfspy;)

,izf;fg;;gLk; jilfs; gUkdpy; ngupait vdpd; fzpf;fg;gLk; jilapd; ngWkjp

jpUj;jkhFk;. Vd; vd tpsf;Ff.

................................................................................................................................................................................

................................................................................................................................................................................

kPw;wh; ghyj;ij gad;gLj;jp fhtyplg;glhj flj;jpf; fk;gpapd; jil ntg ;gepiyf;

Fzfk; Jzpag;glTs;sJ. ,jw;F flj;jpf; fk;gpia ntg;gkhf;f Njq;fha;

vz;nza; njhl;b gad;gLj;jglTs;sJ. RS epakj; jilahFk;.

iv) ,q;F ntg;gkhf;Ftjw;F ePUf;Fg; gjpyhf Njq;fha; vz;nza; gad;gLj;Jtjd;

mD$yk; ,uz;L jUf.

................................................................................................................................................................................

................................................................................................................................................................................

𝑹 𝑹𝒔

𝓵 𝒄𝒎 (𝟏𝟎𝟎 − 𝓵)𝒄𝒎

𝑮 𝑿 𝒀

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juk; - 13 (2016) - khu;r ; - 2016 6 ngsjpftpay; - II(A)

(b)

i) kPw;wu; ghyj;jpd; 𝑥, 𝑦 (,lf;if ntspapy;) ,ilntspapy;; ,izf;f Ntz;ba gFjp

glj;jpy; fhl;lg;gl;Ls;sJ. vz;nzapDs; itf;fg;gLk; flj;jp gpsh];upf; fl;ilapd;

kPJ Rw;wg;gl;Ls;sJ. Vd;?

................................................................................................................................................................................

................................................................................................................................................................................

ii) gd;rd; Rthiyia nrg;gQ; nra;J (nghUj;jkhf Fiwj;J my;yJ $l;b)

vz;nza;j; njhl;bapd; ntg;gepiyia khwhJ Ngzg;gl;L rkepiy ePsk; ℓ

msf;fg;gLk;. ntg;gk; toq;fg;gLifapy; ntg;gepiy khwhJ Ngzg;gLtJ

rhj;jpakh? tpsf;Ff?

................................................................................................................................................................................

................................................................................................................................................................................

iii) kPw;wu; ghyk; rkepiyapy; cs;sNghJ rkepiy ePsk; ℓ, flj;jpf; fk;gpapd; jil 𝑅𝜃,

epakj;jil 𝑅𝑠 ,w;fhd njhlu;ig vOJf.

................................................................................................................................................................................

................................................................................................................................................................................

iv) ntg;gepiy 𝜃 Tld; flj;jpf; fk;gpapd; jil 𝑅𝜃 ,w;fhd njhlu;ig vOJf?

................................................................................................................................................................................

v) gFjp iii gFjp iv ,y; cs;s njhlu;ig gad;gLj;jp rhu;khwp ℓ

100− ℓ rhuhkhwp 𝜃

vd;gtw;iw 𝑦 = 𝑚𝑥 + 𝑐 vd;Dk; tbtj;jpy; xOq;FgLj;Jf.

................................................................................................................................................................................

................................................................................................................................................................................

................................................................................................................................................................................

vi) tiugpypUe;J vt;thW jil ntg;gepiyf; Fzfk; 𝛼 Jzpayhk;?

................................................................................................................................................................................

................................................................................................................................................................................

𝒙, 𝒚 w ;F

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gFjp - II B

fl;Liu tpdhf;fs;

VjhtJ ehd;F tpdhf;fSf;F kl;Lk; tpil vOJf.

01) 0.3 𝑚 Miuaila xU tl;l cNyhfj;jl;lhdJ Row;rp ,af;f czupapd; mr;rpy; fpilahf

nghUj;jg;gl;Ls;sij cU I fhl;LfpwJ. mr;rhdJ cuha;tw;w jhq;fpapy; cs;sJ.

cU I ,y; fhl;lg;gl;lthW mr;rpy; nghUj;jg;gl;Ls;s ,Nyrhd fg;gpapy; xU nky;ypa

,io Row;wg;gl;Ls;sJ. fg;gpapd; Miu 20 𝑚𝑚 MFk;. ,ioapd; RahjPd Kidapy; 10 𝑁

tpir gpuNahfpj;J ,io KOtijAk; fg;gpapypUe;J mfw;w 3𝑠 vLj;jJ. Row;rp ,af;f

czupahdJ xU fzpdpf;F ,izf;fgl;Ls;sJ. Row;rp ,af;f czup %yk; tl;l

cNyhfj; jl;bd; Nfhz Ntfk; Neuj;Jld; khWgLk; tiuig fzdpj; jpiuapy; fhl;rpg;

gLj;Jtjw;fhd xU nra;epuy; (𝑃𝑟𝑜𝑔𝑟𝑎𝑚) fzzpapy; gjpNtw;wg;gl;Ls;sJ.

(a) mr; nra;epuy; %yk; fzzpj; jpiuapy; fhl;rpg;gLj;jg;gl;l tiughdJ fPNo

fhl;lg;gl;Ls;sJ.

i) ,ioapdhy; gpuNahfpf;fg;gl;l KWf;fj;jpidf; fzpf;f.

ii) tiuigg; gad;gLj;jp jl;bd; Nfhz Mu;KLfiyf; fzpf;f.

iii) njhFjpapd;; rlj;Jtj; jpUg;gj;ijf; fzpf;f.

iv) ,ioapd; ePsj;ijf; fzpf;f.

aho;. tyaf; fy;tpj; jpizf;fsj;jpd; mDruizAld; njhz;ilkhdhWntspf;fsepiyak; elhj;Jk;

Field Work Centre jtizg; guPl;ir> khu;r;

Term Examination, March

juk; :- 13 (2016) ngsjpftpay; - II

FWC

- 2016 - 2016

𝒅𝒊𝒔𝒌

𝒂𝒙𝒍𝒆

𝟏𝟎 𝑵

𝒕𝒐 𝒄𝒐𝒎𝒑𝒖𝒕𝒆𝒓

𝑭𝒓𝒊𝒄𝒕𝒊𝒐𝒏𝒍𝒆𝒔𝒔 𝒃𝒆𝒂𝒓𝒊𝒏𝒈

𝑷𝒖𝒍𝒍𝒆𝒚

𝒓𝒐𝒕𝒂𝒕𝒊𝒐𝒏𝒂𝒍 𝒎𝒐𝒕𝒊𝒐𝒏 𝒔𝒆𝒏𝒔𝒐𝒓

𝟏

𝟏. 𝟓

𝟑. 𝟎

𝟒. 𝟓

𝟔. 𝟎

𝟐 𝟑 𝟒 𝒕𝒊𝒎𝒆/𝒔

𝒂𝒏𝒈𝒖𝒍𝒂𝒓 𝒗𝒆𝒍𝒐𝒄𝒊𝒕𝒚/𝒓𝒂𝒅𝒔−𝟏

𝟎

𝟕. 𝟓

cU - I

cU - II

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(b) ,ioKOtJk; fg;gpapypUe;J mfw;wg;gl;l gpd;du;> cU III ,y; fhl;lgl;lthW 3.0 𝑘𝑔

jpzpTk; 0.1 𝑚 MiuAKila ,d;DnkhU rPuhd tl;lj;jl;L nkJthf cNyhfj; jl;bd;

kPJ tpotplg;gLfpwJ. ,g;NghJ ,t;tpU jl;Lk; Nru;e;J RoYk; Gjpa Nfhz Ntfj;ijf;

fhz;f.

(c) (b) ,y; tpotplg;gl;l tl;lj; jl;bw;F gjpyhf mNj jpzpTk; mNj MiuAKila xU

rPuhd tisak; cU IV ,y; fhl;lg;gl;lthW tpotplg;gLfpwJ. ,g;NghJ

tisaj;jpdJk; cNyhfj; jl;bdJk; Gjpa Nfhz Ntfk; (b) ,y; fzpj;j Nfhz

Ntfj;ij tpl mjpfkh? my;yJ Fiwth? my;yJ khwhjh? ckJ tpilia tpsf;Ff.

(d) (a) ,y; ngw;w khwh Nfhz Ntfj;Jld; cNyhfj; jl;lhdJ Rod;W nfhz;bUf;fpd;w

NghJ fPNo cU V ,y; fhl;bathW jl;bd; ikaj;jpypUe;J 10𝑔 jpzpTila xU

NjdPahdJ jl;bd; tpspk;gpy; cs;s xU Fwpj;j Gs;spia Nehf;fp khwhf; fjpAld;

Miu topNa ntspNehf;fp ,aq;f Muk;gpf;fpwJ.

i) NjdP Mu;KLfpwjh? ckJ tpilia tpsf;Ff.

ii) “NjdPapd; fhYf;Fk; cNyhfj; jl;bd; Nkw;gug;gpw;Fk; ,ilapyhd ,af;ftpay;

cuha;Tf; Fzfk; 0.5 vdpd; NjdPahdJ Fwpj;j Gs;spia milahJ?”

fzpg;GfSld; ,f;$w;iw tpsf;Ff.

iii) ,j;NjdP Fwpj;j Gs;spia milar; nra;tjw;fhf cU IV ,y; fhl;bathW mNj

tisakhdJ Nghlg;gLfpwJ. ,r;nra;ifahy; NjdP Fwpj;j Gs;spia milAkh?

fzpg;GfSld; ckJ tpilia tpsf;Ff.

𝒔𝒆𝒄𝒐𝒏𝒅 𝒅𝒊𝒔𝒌

𝒐𝒓𝒊𝒈𝒊𝒏𝒂𝒍 𝒅𝒊𝒔𝒌

𝒓𝒊𝒏𝒈

𝒐𝒓𝒊𝒈𝒊𝒏𝒂𝒍 𝒅𝒊𝒔𝒌

cU - V

cU - IV

cU - III

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02) i) xUq;Ftpy;iynahd;W G+uz re;jpudJ tpk;gj;ijj; jpiuapy; tPo;j;Jtjw;Fg;

gad;gLj;jg;gLfpd;wJ. re;jpudpy; ,Ue;J ntspNawp tpy;iy kPJ gLfpd;w Xug;

Gwf;fjpu;fs; 𝑎, 𝑎1,𝑏, 𝑏1 cUtpw; fhl;lg;gl;Ls;sd. tpy;iyapd; ghu;itg; Gyj;jpd;

kj;jpapy; re;jpud; ,Ug;gjhff; fUJf.

a) NkYs;s tupg;glj;ij tpilj;jhspy; gpujpnra;J tpy;iyapy; 𝑎, 𝑎1,𝑏, 𝑏1 vd;w

fjpu;fsJ Kwpitf; fUJtjd; %yk; jpiuapy; tpk;gk; ngw;Wf; nfhs;sg;gLtijf;

fhl;Lk; fjpu;g;glj;ij tiuf.

b) re;jpudhdJ GtpapypUe;J 3.8 × 105 𝑘𝑚 Jhuj;jpy; ,Ug;gjhfTk; mjdJ tpl;lk;

3.5 × 103 𝑘𝑚 vdTk; jug;gl;Ls;sJ.

(i) GtpapypUe;J Nehf;Fk; xUtuJ fz;zpy; re;jpudhy; vjpuikf;fg;gLk;

NfhzkhdJ 0.0092 𝑟𝑎𝑑 MFnkdf; fhl;Lf.

(ii) tpy;iyapdJ Ftpaj;Juk; 30 𝑐𝑚 vdpy; re;jpudJ tpk;gj;jpd;

cUg;ngUf;fj;ijf; fUJtjd; %yk; jpiuapy; cUthFk; t pk ;gj;jpd; tpl;lk;

ahJ?

(iii) Nehf;Feu; ,t;tpk;gj;ij jpiuapypUe;J 25 𝑐𝑚 Juj;jpypUe;J Nehf;Ftjhff;

nfhz;L ,t;tpk;gkhdJ mtuJ fz;zpy; vjpuikf;Fk; Nfhzj;ijf; (𝑟𝑎𝑑 ,y;)

fzpf;f.

(iv) Nfhz cUg;ngUf;fj;Jf;fhd tiutpyf;fzj;ij cgNahfpj;J jug;gl;l

tpy;iyapdhy; cUthFk; Nfhz cUg;ngUf;fj;ijf; fzpf;f.

c) NkNy gFjp b (ii) ,y; gad;gLj;jg;gLk; tpy;iyahdJ mjdpYk; ngupa Ftpaj;

JuKila xUq;F tpy;iyahy; khw;wPL nra;ag;gLifapy; cUthFk; GjpaNfhz

cUg;ngUf;fkhdJ Kd;ida Nfhz cUg;ngUf;fj;jpYk; $bajhfth

Fiwe;jjhfth my;yJ mjw;Fr; rkdhdjhfth mikAk;?

ii) ,g;NghJ gFjp i ,y; jug;gl;l xUq;Ftpy;iyAld; 5 𝑐𝑚 Ftpaj; JuKila gpwpnjhU

xUq;F tpy;iyAk; jug;gl;Ls;snjdf; fUJf. jpiuia mfw;wp jpiu Kd;G ,Ue;j

epiyapy; ,Ue;J 5 𝑐𝑚 Juk; tpy;iyf;F mg;ghy; ,t;tpy;iy Kjyhk; tpy;iyAld;

Xur;rhf itf;fg;gLfpwJ.

Nehf;Feu; ,t;tpU tpy;iyfspd; Nru;khdj;jhy; cUthf;fg;gLk;. re;jpudJ tpk;gj;ij

,g;NghJ mtjhdpf;fpd;whu;. re;jpudpy; ,Ue;JtUk; rkhe;juf; fjpu;fs; tpy;iyfspd;

mr;Rld; rha;e;Js;sJ. (cUitg; ghu;f;f)

𝒂

𝒃

𝒃𝟏

𝒂𝟏

𝒇 = 𝟓𝒄𝒎

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a) (i) cUit ckJ tpilj;jhspy; tiue;J ,Wjptpk;gk; cUthtijf; fhl;Lk;

fjpu;g; glj;ijg; G+uzg;gLj;Jf.

(ii) ,t;tpy;iyj; njhFjpapd; Nfhz cUg;ngUf;fk; ahJ?

b) njspTg; ghu;itapd; ,opTj;Juk; 25 𝑐𝑚 I cila Nehf;Feu; xUtu; jdJ

mz;ikg; Gs;spapy; ,t;tpk;gk; cUthtjw;F ,uz;lhk; tpy;iyia vj;Juj;jhy;

mirf;f Ntz;Lk;?

03) tspkz;lyj;jpd; rhu; <ug;gjd; 60% MfTk; ntg;gepiy 25𝑜𝐶 MfTk; ,Uf;Fk; ehs;

xd;wpNy> 50 𝑚3 fdtsitAila Fwpg;gpl;l miwapd; ntg;gepiyia khwhJ Ngz

jd;dpaf;f cgfuz mikg;G nghUj;jg;gl;L> miwapDs; rhuPug;gjd; 20% MfTk;

ntg;gepiy 25𝑜 𝐶 MfTk; ,Uf;FkhW tspkz;lyj;jpd; Vida gFjpfspypUe;J

,f;Fwpg;gpl;l miw jdpahf;fg;gl;Ls;sJ. ,e;epiyapy; miwapd; jdp <ug;gjd;

1 × 10−2𝑘𝑔𝑚−3 MFk;. ePupd; Mtpahjypd; kiw ntg;gk; 22.68 × 105𝐽𝑘𝑔−1.

(a) i) ntg;gepiyia khwhJ Ngz> jd;dpaf;f cgfuzj;jpd; nraw;ghl;il fl;Lg;gLj;j

nghJthf gad;gLj;jg;gLk; cgfuzj;jpd; Kf;fpa $W ahJ?

ii) tspkz;lyj;jpd; jdp<ug;gjd; ahJ?

(b) ,t; miwahdJ <ukhd ru;trkdhd Milfis cyu;j;Jtjw;F gad;gLj;jg;gLfpwJ.

Milfs; cyUk; NghJ miwapDs; rhuPug;gjd; (𝑅. 𝐻) Neuk; (𝑡) cld; khWk; tiuG

fPNo fhl;lg;gl;Ls;sJ.

i) miwapDs; rhuPug;gjd; mjpfupf;Fk; tPjk; gw;wp ahJ $WtPu;? mJ mt;thW

miktjw;Fupa fhuzq;fisj; jUf.

ii) rhuPug;gjd; rpwpJ Neuj;jpd; gpd;du; miwapDs; khwpypahf fhzg;gLfpwJ. ,J

vt;thW rhj;jpakhfpwJ?

(c) rhuPug;gjd; 90% ,y; cs;sNghJ

i) Milfspy; ,Ue;J ntspNawpa ePupd; jpzpT ahJ?

ii) xU Mil Kw;whf cyUk; NghJ mjd; jpzpT ruhrupahf 0.125 𝑘𝑔 ,dhy;

FiwAnkdpd; cyutplg;gl;l Milfspd; vz;zpf;if ahJ?

iii) miwapd; Gjpa jdp <ug;gjd; ahJ?

(d) Milfs; cyUk; NghJ miwapDs; rhuPug;gjd; ruhrupahf 0.5%/𝑚𝑖𝑛 (epkplk;) vd;Dk;

tPjj;jpy; mjpfupf;ff; fhzg;gl;lJ.

i) Milfs; Kw;whf cyu vLf;Fk; Neuk; ahJ?

ii) Milfspy; ,Ue;J ruhrupahf ePu; MtpahFk; tPjk; vd;d?

iii) Milfs; cyUk; NghJ jd;dpaf;f cgfuzj;jpdhy; toq;fg;gLk; ruhrup tY

ahJ?

𝑅. 𝐻

𝑡

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04) gFjp (A) my;yJ (B) ,w;F tpil vOJf

(A) (a) i) kpd;fyk; xd;wpy; “kpd;dpaf;ftpir” vd;Dk; gjj;ij tiuaWf;f.

ii) Nkhl;lhu; fhu; gw;wup 12𝑉, 90𝐴 ℎ vd tpje;Jiuf;fg;gl;Ls;sJ. ,jpy; 90𝐴 ℎ vd

$wg;gl;Ls;sJ. ,jd; fUj;J 1 𝐴 tPjk; 90 kzpj;jpahyk; kpd;Ndhl;lj;ijg;

ngwyhk;. 𝐴 ℎ ,dhy; Fwpf;fg;gLk; fzpak; vd;d?

A - xt;nthd;Wk; 24 Ω jilAila jil tpsf;Ffs; (𝐵𝑟𝑒𝑎𝑘 𝑙𝑖𝑔ℎ𝑡)

B - xt;nthd;Wk; 24 Ω jilAila epWj;jp tpsf;Ffs; (𝑃𝑎𝑟𝑘 𝑙𝑖𝑔ℎ𝑡)

C - xt;nthd;Wk; 12 Ω jilAila $iu tpsf;F

H.L - jiy tpsf;F 4 Ω jilAilaJ

DI - kq;fy; tpsf;F (𝐷𝑖𝑚 𝐿𝑖𝑔ℎ𝑡) ,jd; jil 4.8 Ω

X - ,Utopr; rhtp> 𝑆𝑀 - njhlf;fp Nkhl;lhu; ,J 0.5 Ω jilAilaJ.

(b) fhupy; gad;gLj;jg;gLk; kpd;Rw;wpd; xU gFjp fhl;lg;gl;Ls;sJ. kpd;fyk; 12 𝑉

kp.,.tpAk; Gwf;fzpf;fj;jf;f mfj;jilAKilaJ. 90 𝐴 ℎ vd tPjg;gl;Ls;sJ.

njhlf;fp Nkhl;lhu; (𝑆. 𝑀) ,aq;f Muk;gpg;gjw;F 20 𝐴 kpd;Ndhl;lk; Njit.

i) vy;yh MspfSk; %lg;gl;L jiy tpsf;Fk; (𝐻. 𝐿); xspUk; NghJ fyk;

toq;Fk; kpd;Ndhl;lk; vd;d?

ii) gFjp (i) ,y; $wg;gl;lthW njhlu;e;J kpd;Ndhl;lk; ghAk; vdpd; vt;tsT

Neuj;jpw;F kpd;Ndhl;lj;ijr; Rw;Wf;F toq;fyhk;?

iii) gFjp (i) ,y; $wg;gl;l gFjpfSld; njhlf;fp Nkhl;lhu; ,af;fg;gbd;

mjDlhd kpd;Ndhl;lj;ijf; fzpj;J> mJ ,aq;Fkh vdf; $Wf.

iv) njhlf;fp Nkhl;liu ,af;Fk; NghJ Vida tpsf;Ffspd; gpufhrk; FiwAkh?

tpsf;Ff.

(c) fyk; ePz;lfhyg; ghtidapd; NghJ 0.1 Ω jil mfj;jilahf cs;sJ.

i) vy;yh MspfSk; %lg;gl;Lk;> jiytpsf;Fk; xsputplg;gl;L njhlf;fp Nkhl;lhu;

Msp ,lg;gLk; NghJ mJ ,aq;f Muk;gpf;Fkh? (kpd;Ndhl;lj;ij fzpj;J

tpiliaf; $Wf.

ii) vy;yh tpsf;FfSk;> jiytpsf;Fk; epWj;jg;gl;L njhlf;fp Nkhl;lhu; ,aq;f

Muk;gpf;Fk; NghJ mjDhlhd kpd;Ndhl;lk; ahJ?

iii) gFjp C (ii) ,y; $wg;gl;l nraw;ghl;bw;F 20 𝑚𝑠 vLg;gpd; fyk; toq;fpa

kpd;rf;jp vt;tsT?

𝐀 𝐀 𝐁 𝐁 𝐂

𝑿

𝐇. 𝐋 𝐃𝐈

𝐒. 𝐌 𝐎𝐅𝐅

𝟏𝟐𝐕

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(d) NkNy $wg;gl;l gw;wup Gjpa epiyapy; cs;s NghJ (mfj;jil ,y;iy)

jw;nrayhf 0.01Ω jilAila 10 𝑔 jpzpTs;s nrg;Gf; fk;gp gw;wupapd;

KidTfSf;fpilapy; 0.5 𝑠 ,izf;fg;gbd; mJ cUfptpLk; vdf; fhl;Lf.

,f;fhyg;gFjpapy; fk;gpapy; gpwg;gpf;fg;gl;l ntg;gj;jpd; 60% mjid ntg;gkhf;f

gad;gl;lJ. nrg;gpd; jd;ntg;gf; nfhs;ssT 400 𝐽𝑘𝑔−1𝐾−1> mjd; cUFepiy

1100𝑜𝐶 miw ntg;gepiy 25𝑜 𝐶

(B) (a) glkhdJ rpypf;fd; jpuhd;rpw;uupd; mOj;jg; gpupifahf;fp NfhlYWifia

fhl;Lfpd;wJ. 𝑉𝐵𝐸 = 0.7𝑉 vdf; nfhs;f.

i) 5𝑘Ω jilf;Ff; FWf;Nfahd mOj;j NtWghl;ilf;

fzpf;f.

ii) fhyp kpd;Ndhl;lk; 𝐼𝐸 iaf; fzpf;f?

iii) Nrfupg;ghd; kpd;Ndhl;lk; 𝐼𝐶 iaf; fzpf;f?

iv) Nrfupg;ghdpw;Fk; fhypapw;Fk; ,ilapyhd mOj;j

NtWghL 𝑉𝐶𝐸 iaf; fzpf;f?

v) D. C Rikf; Nfhl;il tiuf?

vi) nraw;ghl;L Gs;spia fzpf;f?

(b) fPNo fhl;lg;gl;l Rw;whdJ ,yj;jpudpay; nghwpapyhsh; xUtupdhy; ntg;g

epiyahdJ 15𝑜 𝐶 f;F Fiwfpd;w NghJ ntg;gkhf;Fk; cgfuzkhdJ njhopw;glf;

$bathW tbtikf;fg;gl;Ls;sJ.

I. ntg;gepiy 15𝑜 𝐶 MfTs;sNghJ jpuhd;rpw;uh; MdJ Msp %bAs;s epiyapYk;

(epuk;gy; epiyapYk;) ntg;gj; jilapapd; jil 8𝑘Ω MfTk; cs;sJ.

i) 100𝑘Ω jilapDhlhd kpd;Ndhl;lj;ijf; fzpf;f?

ii) ntg;gj; jilapapDhlhd kpd;Ndhl;lj;ijf; fzpf;f?

iii) jpuhd;rpw;uupd; mbapDhlhd kpd;Ndhl;lj;ijf; fzpf;f?

II. ntg;gkhf;Fk; cgfuzkhdJ 12V, 100mA vd tPjg;gLj;jg;gl;Ls;sJ.

ntg;gepiy 15𝑜 𝐶 ,y; Msp%bAs;s epiyapy; ntg;gkhf;Fk; cgfuzk;

,Ug;gjw;F Njitahd ,opT kpd;Ndhl;l eaj;ijf; fzpf;f?

𝟐 𝒌𝛀

+𝟏𝟓 𝑽

𝟓 𝒌𝛀

𝟏 𝒌𝛀 𝟏𝟎 𝒌𝛀 𝑪

𝑬

𝑩

𝑽𝑩𝑬 = 𝟎. 𝟕 𝑽

+𝟏𝟐 𝑽

𝑻𝒉𝒆𝒓𝒎𝒊𝒔𝒕𝒐𝒓

𝒉𝒆𝒂𝒕𝒊𝒏𝒈 𝒆𝒍𝒆𝒎𝒆𝒏𝒕 𝟏𝟐 𝑽 𝟏𝟎𝟎𝒎𝑨 𝟏𝟎𝟎 𝒌𝛀

𝑪

𝑩

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Page 25: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

juk; - 13 (2016) - khu;r ; - 2016 7 ngsjpftpay; - II (B)

05) (a) i) gha;k ghr;rYf;fhd GtNrapd; rkd;ghl;bid vOjp FwpaPLfis ,dq;fhz;f.

ii) ,r;rkd;ghL typjhf ,Ug;jw;Fupa epge;jidiaf; Fwpg;gpLf.

iii) Foha; xd;wpDlhf a (ii) ,y; Fwpg;gpl;l epge;jidfspd; fPo; gpRf;Fik jputk;

ghAk; NghJ Fohapd; RtupypUe;J jputg; gilfspd; Ntfk; khWtjid tupg;glk;

xd;wpy; mk;Gf;Fwpapdhy; Fwpj;Jf; fhl;Lf.

(b) Fohapd; cs; Miu 𝑟 MfTk;> Fohapd; KidfSf;F FWf;Nf mKf;f tpj;jpahrk; ∆ 𝑃

MfTk;> jputj;jpd; fdtsTg; ghr;ry; tPjk; 𝑄 vdTk; jug;gl;lhy; ghFik tpirf;F

vjpuhf cs;s mKf;f tpj;jpahrj;jpdhy; Ntiy nra;ag;gLk; tPjk; 𝑄∆𝑃 vdf; fhl;Lf.

(c)

khwh mKf;fj; njhl;bAld; kapu;Jio Foha; njhFjpnahd;W nghUj;jg;gl;Ls;sJ.

mfykhd Foha; 𝐴𝐵 apd; ePsk; 0.2 𝑚, mjd; Miu 0.2 𝑚𝑚 MFk;. nky;ypa Foha;

𝐵𝐶 apd; ePsk; 0.05 𝑚, mjd; Miu 0.1 𝑚𝑚 MFk;. mfykhd Fohapd; Kid 𝐴 ,y;

mKf;fk; 86 𝑐𝑚 𝐻𝑔, nky;ypa Fohapd; RahjPd Kid 76 𝑐𝑚 𝐻𝑔 mKf;fj;jpYk;

cs;sJ.

t.k.m= 76 𝑐𝑚 𝐻𝑔 MFk;. ,urj;jpd; mlu;j;jp 13600 𝑘𝑔 𝑚−3> ePupd; mlu;j;jp

1000 𝑘𝑔𝑚−3, 𝜋 = 3 vdf; nfhs;f.

i) Foha; njhFjp 𝐴 𝐵 𝐶 ,d; kl;lj;jpypUe;J khwh mKf;f njhl;bapd; ePu; kl;lk;

tiuahd cauk; ℎ If; fhz;f.

ii) Foha; njhFjpapd; re;jp 𝐵 ,y; mKf;fj;ijf; fhz;f.

iii) Foha; njhFjpapd; mr;R topNa 𝐴 apypUe;J 𝐶 tiu ePupDs;Ns mKf;fk; khWk;

tpjj;ij tiuf.

iv) ePupd; ghr;ry; tPjk; 8.16 × 10−10𝑚3𝑠−1 vdpd; ePupd; ghFepiyf; Fzfj;ijf;

fhz;f.

v) ghFik tpirf;nfjpuhf 𝐴𝐵 Foha;Ff; FWf;Nf cs;s mKf;f tpj;jpahrj;jpdhy;

Ntiy nra;ag;gLk; tPjj;ijf; fhz;f. ,jpypUe;J 𝐵𝐶 Foha;f; FWf;Nf cs;s

mKf;f tpj;jpahrj;jpdhy; Ntiy nra;ag;gLk; tPjj;ij ca;j;jwpf.

𝒉(𝒎)

𝑩 𝑨 𝑪

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Page 26: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

juk; - 13 (2016) - khu;r ; - 2016 8 ngsjpftpay; - II (B)

06) irf;fpsj;jpud; vd;gJ xU Jzpf;if MHKLf;fpahFk;.

,J 1931 ,y; E.O. Lawrence and M.Stanley Livingston

vd;gtHfshy; California gy;fiyf;fofj;jpy; fz;lwpag;

gl;bUe;jJ. ,t;Tgfuzj;jpDs;Ns Vw;wk; ngw;w

Jzpf;iffs; ikaj;jpypUe;J xU RUspg;ghij topNa

ntspNehf;fpajhf MHKLfpr; nry;Yfpd;wd. ,jDs;Ns

fhzg;gLk; khwhj fhe;jg;GyKk; tpiuthf khWfpd;w

kpd;GyKk; Vw;wk; ngw;w Jzpf;iffis RUspg;

ghijapy; NgZtjw;F cjTfpd;wd.

,t;Tgfuzk; ,uz;L “ D ”tbt jl;ilahd miutl;l tbt cNyhfg; ngl;bfis

jd;dfj;Nj nfhz;Ls;sJ. ,it D1> D2 vdf; Fwpf;fg;gLfpd;wJ. ,g;ngl;bfs; ,uz;Lk;

mtw;wpd; tpl;lk; topNa jpwe;jpUf;ff; fhzg;gLtJld; xd;iw xd;W Nehf;fpAk;

fhzg;gLfpd;wd. ,t;tpU tpl;lq;fSf;Fk; ,ilNa rpwpa ,ilntsp xd;W

fhzg;gLtJld; caH kPbwd; nfhz;l miyapapdhy; gpuNahfpf;fg;gLk; caH

mOj;jNtWghL ,t; ,ilntspapDs; fhzg;gLfpd;wJ. ,jdhy; xt;nthU miutl;lr;

Row;rpf;nfhU jlit khwf;$bajhf khWfpd;w kpd;Gyk; miyapapdhy; cUthf;fg;

gLfpd;wJ. xU miur; Rw;Wiff;F D1 ,d; Neuhd tpspk;G NeH Kidahf ,Uf;Fk; mNj

Ntis D2 ,d; Neuhd tpspk;G kiw Kidahf fhzg;gLk;> mLj;j miu tl;lr;

Rw;Wifapd; NghJ D1 ,d; Neuhd tpspk;G kiw Kidahf ,Uf;Fk; mNj Ntis D2 ,d;

Neuhd tpspk;G NeH Kidahf fhzg;gLk;. ,jd;NghJ ,U “ D ” fspDs;NsAk; khwhj

tl;lghijapd; jsj;jpw;Fr; nrq;Fj;jhd fhe;jg;Gyk; fhzg;gLk;. tl;lj;jpd; ikaj;jpy;

GNuhj;jpud; Kjy; xd;W itf;fg;gl;bUf;Fk;. KOj;njhFjpAk; xU ntw;wplj;jpDs;

Ngzg;gLk;.

kpd;Kjypy; ,Ue;J Gwg;gLk; GNuhj;jd;

fs; fpilj;jsj;jpy; ,aq;fp kpd;Gyj;jp

ypUe;J D1 (kiw Kid) ,Ds; gpuNtrpf;

fpd;wd. ,it fhe;jg;Gyj;jhy; xU

miutl;lg; ghij topNa ,aq;fp

kPz;Lk; kpd;Gyj;jpDs; gpuNtrpf;fpd;wd.

,jd;NghJ D2 kiwahfTk; D1 NeuhfTk;

khWtjhy; D2 I Nehf;fp xU MHKLf

Yld; kpd;Gyj;jpDs; ,aq;fp D2 ,Ds;

Kd;dupYk; mjpf ,af;f rf;jpAld;

Eiofpd;wJ. ,jdhy; D2 ,Ds; rpwpJ

mjpfupj;j MiuAlDk; mjpfupj;j khwhj

Ntfj;JlDk; miutl;lg; ghijapy;

,aq;Ffpd;wJ. kPz;Lk; kpd;Gyj;jpDs; EioAk; NghJ D1 kiwahfTk; D2 NeuhfTk;

khWtjhy; D1 I Nehf;fp xU MHKLfYld; kpd;Gyj;jpDs; ,aq;fp D1 ,Ds; Kd;dupYk;

D1

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Page 27: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

juk; - 13 (2016) - khu;r ; - 2016 9 ngsjpftpay; - II (B)

mjpf ,af;frf;jpAld; Eiofpd;wJ. ,t;thW xt;nthU miu tl;lj;jpw;nfhU jlit

mjpfupj;j MiuAlDk; Ntfj;JlDk; ,aq;fp xU ngupa Ntfj;Jld; fUtpapypUe;J

ntspNaWfpd;wJ. ,jw;F Vw;whw;Nghy; miutl;l mjpHntz;zpw;F rkdhd

mjpHntz;izf; nfhz;ljhf MlYWk; kpd;GyKk; khWtjhy; kPbwd; xj;jpirT

Vw;gLfpd;wJ.

(a) fhe;jg;Gyj;jpDs; nrq;Fj;jhf EioAk; Neuhd Vw;wk; mDgtpf;Fk; fhe;j tpir (F)

,w;;fhd Nfhitia mjd; Vw;wk; (q) , fhe;jg;gha mlHj;jp (B) , mjdJ Ntfk; (V)

rhHgpy; jUf.

(b) fhe;jg;Gyj;jpDs; miutl;lg;ghijapy; ,aq;Fk; GNuhj;jd; xd;wpw;F mjd; Miu (r)

mjd; ce;jj;jpy; jq;fpAs;sJ vdf; fhl;Lf.

(c) GNuhj;jdpd; RoYk; mjpHntz;zpw;fhd Nfhit xd;iw ngw;Wf;fhl;Lf (GNuhj;jdpd;

jpzpT m vd;f).

(d) ,jpypUe;J GNuhj;jdpd; KO ,af;fj;jpw;Fk; kPbwd; khwpahfth my;yJ khwpypahfth

fhzg;gl Ntz;Lk;? tpsf;Ff.

(e) xU rPuhd kpd;Gyk; (E) ,Ds; MHKLFk; GNuhj;jdpd; MHKLfy; (a) ,w;fhd Nfhit

xd;iw ngw;Wf; fhl;Lf.

(f) xt;nthU miu tl;lj;jpw;nfhU jlit GNuhj;jdpd; ,af;frf;jp mjpfhpg;gpw;fhd

Nfhit xd;iw ngw;Wf; fhl;Lf. (,U tpl;lq;fspw;Fkpilapyhd Ntwhf;fk; d>

tpl;lq;fspw;fpilapyhd rPuhd kpd;Gyr;nrwpT E)

(g) xt;nthU D ngl;bfspDs;Sk; 1.2 T fhe;jg;gha mlHj;jp MfTk; ,U “D”

fSf;fpilapyhd mOj;jNtWghL 10 keV MfTk; cs;s fUtpapDs; kPbwd; xj;jpirT

ngWkhdj;ijf; fhz;f.

(GNuhj;jdpd; jpzpT 1.7 x 10-27kg, GNuhj;jdpd; jpzpT 1.6 x 10-19 C)

(h) GNuhj;jd; Xa;tpypUe;J ,aq;f Muk;gpg;gpd; 10 MeV ,af;fr; rf;jpAld; ntspNaWtjw;F

vj;jid tl;lq;fis mJ G+Hj;jp nra;jpUj;jy; Ntz;Lk;.

(i) irf;fpsj;jpud; Nghd;w xU Jzpf;if MHKLf;fpapd; gad;ghL xd;W jUf.

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Page 29: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

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Page 30: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

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Page 31: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

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Page 35: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

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Page 36: €¦ · juk; - 13 (2016) - khu;r; - 2016 4 ngsjpftpay; - I 17) rpwpa nghUl;fs; el;rj;jpuk; xd;wpd; ikaj;jpypUe;J r J}uj;jpy; Muk;gj;jpYs;sJ. r MdJ el;rj;jpuj;jpd; MiuAld; xg ...

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