Class: SZ2-A JEE-ADV (2016-P1) MODEL Date: 09-01-2021 ......Marks - Ve Marks No.of Qs Total marks...

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Class: SZ2-A JEE-ADV (2016-P1) MODEL Date: 09-01-2021

Time: 3hrs WAT-14 Max. Marks: 186

IMPORTANT INSTRUCTIONS

PHYSICS Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks

Sec – I(Q.N : 1 – 5) Questions with Single Correct Choice 3 -1 5 15

Sec – II(Q.N : 6 – 13) Questions with Multiple Correct Choice

(Partial Marking +1) 4 -2 8 32

Sec – III(Q.N : 14 – 18) Questions with Integer Answer Type 3 0 5 15

Total 18 62

CHEMISTRY Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks





Total 18 62

MATHEMATICS Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks





Total 18 62

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http://www.narayanagroup.com/

SZ2-A_JEE-ADV(2016-P1)_WAT-14_QP_Exam.Dt.09-01-2021

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SECTION – I (01 TO 05)

(SINGLE CORRECT ANSWER TYPE)

This section contains 5 multiple choice questions. Each question has four

choices (A), (B), (C) and (D) out of which only one option is correct.

Marking scheme: +3 for correct answer, 0 if not attempted and -1 in all other cases.

01. A rectangular tube of uniform cross section has three liquids of

densities 1 2, and 3 . Each liquid column has length l equal to

length of sides of the equilateral triangle. Find the length x of the

liquid of density 1 in the horizontal limb of the tube, if the

triangular tube is kept in the vertical plane.

A) ( )

( )2 1

2 1 3

−

− +

l B)

( )

( )2 1

2 1 3

−

+ +

l

C) ( )

( )2 1

2 1 32

−

− +

l D)

( )

( )2 1

2 1 3

+

+ +

l

02. Figure shows a siphon. The liquid shown is water. The pressure

difference B AP P− between the points A and B is

A) 2400N / m B) 23000N /m C) 21000N / m D) 0


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03. Water stands at a depth D behind the vertical upstream face of a

dam as shown in the figure. The force exerted on the dam by water

per unit width is

A) 21gD

3 B) 21

gD2 C)

1gD

3 D) ( )

21gD

2

04. A glass full of water has a bottom of area 20 cm2, top of area 20

cm2, height 20 cm and volume half a litre. Condsidering the

equilibrium of the water, the resultant force exerted by the sides of

the glass on the water (In N) in upward direction is (Atmospheric

pressure 5 21.0 10 Nm−= . Density of water = 31000kg m− and

2g 10m /s= ) Take all numbers to be exact.

A) 1 B) 2 C) 3 D) 4

05. The height of mercury barometer is h when the atmospheric

pressure is 510 Pa . The pressure at x in the shown diagram is

A) 510 Pa B) 50.8 10 Pa

C) 50.2 10 Pa D) 5120 10 Pa


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SECTION – II (06 TO 13)

(MULTIPLE CORRECT CHOICE TYPE) This section contains 8 multiple choice questions. Each question has 4 options

(A), (B), (C) and (D) for its answer, out of which ONE OR MORE than ONE option can be correct. Marking scheme: +4 for correct answer and +1 partial marks, 0 if not attempted and

-2 in all other cases.

06. A liquid is filled in a container as shown in figure. Container is

accelerated towards right. There are four points A, B, C and D in

the liquid. Choose the correct options.

A) A Bp p B) C Ap p

C) D Bp p D) A Cp p

07. Choose correct statements:

A) Density of a fluid determines the inertia of the fluid

B) When two liquids of volumes 1 2, and densities 1 2,

respectively are mixed together, then the resultant density of the

mixture is 1 1 2 2

1 2

+

+

C) When two liquids of volumes 1 2, and densities 1 2,

respectively are mixed together, then the resultant density of the

mixture is 1 2 2 1

1 2

+

+

D) Hydraulic lift, hydraulic press working on the principle of

pascal’s law


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08. When equal volumes of two metals A and B are mixed together, the

specific gravity of alloy is 4. When equal masses of the same two

metals are mixed together the specific gravity of the alloy now

becomes 3. Then

A) The specific gravity of the metal (A) is 6

B) The specific gravity of the metal (B) is 2

C) The specific gravity of the metal (A) is 2

D) The specific gravity of the metal (B) is 6

09. Figure shows a container filled with a liquid of density . Four

points A, B, C and D lie on the vertices of a vertical square. Points

A and C lie on a vertical line and points B and D lies on a horizontal

line. Choose the correct statement(s) about the pressure at the four

points.

A) =D BP P B) = A B D CP P P P

C) −

= = C AD B

P PP P

2 D)

+= = C A

D B

P PP P

2

10. Two syringes of different cross sections (without needles) filled with

water are connected with a tightly filled rubber tube filled with

water. Diameters of the smaller and larger pistons are 1 cm and 3

cm respectively. Then

A) The force exerted on the larger piston, when a force of 10 N is

applied to the smaller piston is 90 N nearly

B) The force exerted on the larger piston, when a force of 10 N is

applied to the smaller piston is 120 N nearly

C) If the smaller piston is pushed in through 6 cm, the larger piston

moves out a distance of 0.67 cm nearly

D) If the smaller piston is pushed in through 6 cm, the larger piston

moves out a distance of 0.32 cm nearly


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11. In the following figure shown, a liquid is filled into the vessel up to

a height h and the forces exerted against the liquid by the walls of

the vessel are shown by arrows, the force being everywhere

perpendicular to the walls of the vessel. For this situation, mark

out the correct statement(s)

A) The horizontal component of the forces on the left and right side

inclined faces will cancel each other.

B) The weight of the section lettered A is supported by vertical

component of forces acting on the inclined faces.

C) Force exerted by the liquid on the base of the vessel is greater

than ( )0p gh+ A where is the density of the liquid and A is base

area of the vessel.

D) Net force exerted by liquid on the base of the vessel is in the

vertical downward direction.

12. An open vessel containing liquid is moving with constant

acceleration a on a levelled horizontal surface. For this situation

mark out the correct statement(s).

A) The maximum pressure is at the leftmost bottom corner.

B) Along a horizontal line within the liquid as we move from left to

right the pressure decreases.

C) The pressure at all points on a line making an angle of 1 atan

g

−

with horizontal would be same.

D) Along a horizontal line within the liquid as we move from left to

right, the pressure remains same.


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13. A closed rectangular box is completely filled with a liquid of density

, as shown in the figure. The box is accelerated horizontally with

a constant acceleration ‘a’. If minimum gauge pressure in the box

is zero. Then choose correct options.

A) Gauge pressure at corner point A is 0

B) Gauge pressure at corner point B is gh

C) Gauge pressure at corner point C is gh + aL

D) Gauge pressure at corner point D is aL

SECTION – III (14 TO 18)

(INTEGER ANSWER TYPE)

This section contains 5 questions. The answer to each question is a SINGLE

DIGIT INTEGER ranging from 0 to 9, both inclusive. For each question, darken

the bubble corresponding to the correct integer in the ORS.

Marking scheme +3 for correct answer, 0 if not attempted and 0 in all other cases.

14. The pressure at the bottom of a lake, due to water, is

6 24.9 10 N /m . The depth of the lake is N 100m . Then the value

of N is _____________.

2 3

waterg 9.8 m/s , 1000kg /m = =

15. When two liquids of equal masses and densities 1 2, are mixed.

Then effective density of the mixture is 1 2

1 2

N

+ . Then the value of

N is _____________.


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16. If room has dimensions 3m 4m 5m , the mass of air in the room

is N 13kg . Then the value of N is _____________.

( )( )3

airat NTP is 1.3kg / m =

17. When at rest, a liquid stands at the same level in the tubes as

shown in the figure. But as indicated, a height difference h occurs

when the system is given an acceleration a towards the right, then

the h is equal to NaL

Pg. Then the value of N P− is

18. A sealed tank containing a liquid of density moves with horizontal

acceleration a as shown in the figure. The difference in pressure

between two points A and B will be Nhg + la. Then the value of N

is


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19. Hydrogen peroxide is not:

A) a reducing agent B) an oxidising agent

C) a dehydrating agent D) a bleaching agent

20. The volume of “10 vol” of H2O2 required to liberate 500 mL O2 at

NTP is:

A) 50 mL B) 25 mL

C) 100 mL D) 125 mL

21. Which of the following statements is incorrect?

A) H2O2 can act as an oxidising agent

B) H2O2 can act as reducing agent

C) H2O2 has acidic properties

D) H2O2 has basic properties.

22. A solution of sodium in liquid ammonia is act as strong reducing

agent due to

A) sodium atoms B) sodium hydride

C) sodium amide D) solvated electrons

23. Alkali metals are soft and have low melting point and boiling point

due to

A) Weak metallic bonding B) High E.A

C) Smaller atomic size D) Low ionisation potential


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(MULTIPLE CORRECT CHOICE TYPE) This section contains 8 multiple choice questions. Each question has 4 options

(A), (B), (C) and (D) for its answer, out of which ONE OR MORE than ONE option can be correct. Marking scheme: +4 for correct answer and +1 partial marks, 0 if not attempted and


24. Which of the following statements is/are correct about 6.8%

strength of 2 2H O

A) Its normality is 4N B) Its molarity is 2M

C) Its volume strength is 22.4V D) volume stregh = 11.2× M

25. The oxidation states of the most electronegative element in the

products of the rection by 2BaO with dilute 2 4H SO are

A) –1 B) +1 C) –2 D) 0

26. Which of the following statements about H2O2 are true?

A) H2O2 is used to hair bleach

B) H2O2 acts as oxidizing as well as reducing agent

C) Two hydroxyl groups in H2O2 lie in the same plane

D) It retains same structure in liquid and solid form with different

bond parameters

27. The correct statements among the following are

A) The density of H2O2 is greater than H2O

B) H2O2 is a better ionizing solvent than H2O because of more

hydrogen bonding in H2O due to its high dipole moment

C) Boiling point of H2O2 is more than H2O because of more

hydrogen bonding in H2O2

D) On cooling water freezes earlier than H2O2

28. Which of the following are the correct reasons for anomalous

behaviour of lithium?

A) Exceptionally small size of its atom

B) Its high polarizing power

C) It has high degree of hydration

D) Exceptionally low ionization enthalpy


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29. A highly pure dilute solution of sodium in liquid ammonia:

A) Shows blue colour

B) Exhibits electrical conductivity

C) Good reducing agent

D) Produces nitrogen gas

30. Select wrong statement about alkali metals

A) All form superoxides ( )2MO

B) All form Nitrides

C) All form ionic hydrides (MH)

D) all form ( )2MNH amide with liquid ammonia on long standing

31. The pair(s) of reagents that yield paramagnetic species is/are

A) Na and excess of 3NH B) K and excess of 2O

C) 2O and 2-ethylanthraquinol D) Na and excess of 2O







32. The volume strength of a 3% solution of H2O2 is x.88, then the value

of x is ____

33. The percentage by mass of hydrogen in H2O2 to its nearest intger

value is ____

34. The maximum number of water molecules lost by 2 3 2.10Na CO H O

when it effloresces under atmospheric condition is

35. A 5 ml solution of H2O2 liberates 0.508 grams of iodine from

acidified KI solution. Volume strength of H2O2 at S.T.P. is x.48,

then the value of x is__

36. 3 2 2 2 ,XLiNO YLi O ZNO O→ + + the sum of X Z+ is ____


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37. If ( ) ( )11 2 | |

cos log 34

xf x x

−− − = + −

. Then its domain is

A) 2,6− B) ) 6,2 2,3−

C) [-6,2] D) ( 2,2 2,3−

38. The domain of the function ( )1

1

ln cosf x

x−=

( where [.] G.I.F ) is

A) [0,1] B) [-1, cos 2]

C) [-1, cos 3] (cos 3, cos 4) D) ) ( )1.cos3 cos3,cos 2−

39. If f(x) is an even function and satisfies the relation

( ) ( )2 12x f x f g x

x

− =

where g(x) is an odd function. Then find the

value of f(5)

A) 0 B) Can’t determine

C) 5 D) 25

40. The range of ( ) 29sin 30sin 25 10f x x x= − + + is [a,b] then

a+b=_______

A) 20 B) 30 C) 40 D) 50

41. The ratio of the greatest value of 22 cos sinx x− + to its least value

is ________

A) 9:4 B) 1:4 C) 3:8 D) 13:4


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(MULTIPLE CORRECT CHOICE TYPE)

This section contains 8 multiple choice questions. Each question has 4 options

(A), (B), (C) and (D) for its answer, out of which ONE OR MORE than ONE

option can be correct.

Marking scheme: +4 for correct answer and +1 partial marks, 0 if not attempted and


42. Let ( ) 1 2sec 1 cosf x x− = + . Where [.] denotes the greatest integer

function. Then

A) The domain of f is R

B) The domain of f is [1,2]

C) The range of f is [1,2]

D) The range of f is 1 1sec ,sec 2− −

43. Let function f(x) be defined as ( ) 1 1 1sin cosf x x

x

− − = +

. Then which

of the following is/are true ?

A) f(x) is injective in its domain

B) f(x) is many-one in its domain

C) Range of f is a singleton set

D) sgn(f(x))=1 where sgn x denototes signum function of x

44. If ): ,4 2

f R → −

is a function defined by

( ) ( )1 4 2 17tan tan4

f x x x − −= − − + and f is surjective then

A) 2

1

2

1cos 2

1

− −=

+ B)

12cos 2ec

+ =

C) 1

2

2sin 2

1

− = −

+ D)

1

2

2tan 2

1

− = −

−


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45. Which of the following is / are true

A) The range of ( ) ( )1 2cot 2f x x x−= − is ),4

B) The domain of ( ) 1 2sin 2 4f x x− = − ( where [.] is G.I.F ) is

3 3

, 02 2

−−

C) The range of ( )1cot sgn x− is 3

, ,2 4 4

D) The domain of 1cos x− is [ 1,2)− (where [ . ] is G.I.F)

46. If ( ) ( ) ( )( )1 12 2 2 sin4

f x xf R xx

+ − + 24cos cos , 02

xx xR

x

= + −

for which of the following statements is/are true ?

A) ( ) ( )12 12

f f+ = B) ( ) ( )2 1 0f f+ =

C) ( ) ( ) ( )11 2 12

f f f = D) ( ) ( ) ( )12 12

f f f+ =

47. Let f be a real valued function such that for any real

( ) ( ), 15 15x f x f x+ = − and ( ) ( )30 30f x f x+ = − − . Then which of the

following statement is true ?

A) f is even B) f is odd

C) f is periodic D) f is not periodic

48. Which of the following is/are true

A) ( )5cos 3cos 53

If a b + + + then a+b=10

B) The minimum value of the function

( ) ( )( )3sin 4cos 10 3sin 4cos 10f x x x x x= − − + − is 49

C) Minimum value of 2 29 tan 4cot + is 12

D) The maximum value of ( ) ( )2 2cos cos3 3

x x − − + is 3

4

49. Let f be a function such that ( ) 12

14 1 8 1 log xf f x

x

+ + + =

. Then the

value of 4f(10)+f(13)+f(17).

A) 0 B) 3 C) 4 D) 6


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50. If the sum of the maximum and minimum values of

( ) ( )1 1 1sin 2 cos 2 sec 2f x x x x− − −= + + is K then K =_____________

51. If the minimum and maximum values of cos 3 2 sin 64

x x

+ + +

are ,l m respectively then 5m l− =_________

52. If the domain of ( )

21

2 1

8.3sin

1 3

x

x

−−

−

−

is ( , ] [ , )a b− then a+b is _______

53. If f is polynomial such that 1 1 1 1

1 1 1 1

x x x xf f f f

x x x x

− + − + = +

+ − + −

where ( )1 0f and 1x and f(3)=28. Then find the value of

( )( )10

1

11

605 n

f n=

− =

_____

54. The minimum value of

( ) ( )3sin 4cos 10 3sin 4cos 10x x x x− − + − is____________

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Class: SZ2-A JEE-ADV (2016-P1) MODEL Date: 09-01-2021 ......Marks - Ve Marks No.of Qs Total marks...

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Transcript of Class: SZ2-A JEE-ADV (2016-P1) MODEL Date: 09-01-2021 ......Marks - Ve Marks No.of Qs Total marks...