JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM /...
Transcript of JEE MAIN Date: 10 Jan 2019 OFFICIAL ONLINE …...RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM /...
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
/ JEE MAINOFFICIAL ONLINE
EXAM / 10 January19Slot II / Solutions
Date: 10 Jan 2019
Rao IIT Academy Website : www.raoiit.com1
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
1.Di�iculty : Medium
Topics :
Electrostatics,
On equatorial line electric field is given as
so
at
and at
2. Di�iculty : Easy
Topics :
Work ,Energy and power,
Work energy theorem
3. Di�iculty : Di�icult
Topics :
Modern Physics,
Binding energy of reactants =
Binding energy of products =
=
So energy has to be supplied
No answer matehes
Bonus
Rao IIT Academy Website : www.raoiit.com2
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
4.Di�iculty : Easy
Topics :
Current electricity,
Now
5. Di�iculty : Medium
Topics :
Semiconductors,
So and
Rao IIT Academy Website : www.raoiit.com3
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
6. Di�iculty : Medium
Topics :
Ray Optics,
7. Di�iculty : Easy
Topics :
Kinetic theory of gases,
=
8.Di�iculty : Medium
Topics :
Rotational Motion,
Rao IIT Academy Website : www.raoiit.com4
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
9.Di�iculty : Easy
Topics :
Thermodynamics,
=
=
=
10. Di�iculty : Medium
Topics :
MAGNETISM,
11. Di�iculty : Easy
Topics :
Wave optics,
As for minima
path di�erence =
Rao IIT Academy Website : www.raoiit.com5
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
12.Di�iculty : Medium
Topics :
Caloriemetry,
Let
No options matches
nearly matches to
13.Di�iculty : Medium
Topics :
Fluids,
Bonus Question
Let length of bottle is submerged, when it is floating
so =
=
No options matches Bonus
Rao IIT Academy Website : www.raoiit.com6
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
14. Di�iculty : Medium
Topics :
Vectors,
...........(1)
when Q is doubled
............(2)
From (1) and (2)
15. Di�iculty : Medium
Topics :
Capacitors,
When battery is disconnected
16.Di�iculty : Medium
Topics :
Modern Physics,Photoelectric e�ect,
No. of photoelectrone ejected per unit time
Rao IIT Academy Website : www.raoiit.com7
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
17. Di�iculty : Easy
Topics :
Communication systems,
So Range of signal = 2250 Hz to 2750 Hz
So for frequency 2000 kHz
So Range = 1800 kHz to 2200 kHz
18.Di�iculty : Easy
Topics :
MAGNETISM,
19. Di�iculty : Easy
Topics :
Simple harmonic motion,
As
Rao IIT Academy Website : www.raoiit.com8
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
20. Di�iculty : Medium
Topics :
Current electricity,
Let voltmeter resistance
21. Di�iculty : Easy
Topics :
MEASUREMENT,
So volume
No. answer matches nearst to (2)
Rao IIT Academy Website : www.raoiit.com9
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
22.Di�iculty : Easy
Topics :
Current electricity,
As it is a balanced wheatstone bridge
So
So
Which correspond to brown, blue and brown
23.Di�iculty : Easy
Topics :
Gravitation,
24. Di�iculty : Medium
Topics :
Vectors,
and
So
and
Rao IIT Academy Website : www.raoiit.com10
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
25.Di�iculty : Medium
Topics :
Rotational Motion,
26. Di�iculty : Easy
Topics :
Sound wave,
Where
Rao IIT Academy Website : www.raoiit.com11
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
27. Di�iculty : Easy
Topics :
Electromagnetic waves,
At any instant 't'
Also
So
28. Di�iculty : Easy
Topics :
Kinematics,
Displacement till t = 5 sec
So position at t = 5 sec is x = 9 m
Rao IIT Academy Website : www.raoiit.com12
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
29. Di�iculty : Medium
Topics :
Electrostatics,
Potential at point O
So work done
30.Di�iculty : Easy
Topics :
Electromagnetic Induction( EMI ),
So
Rao IIT Academy Website : www.raoiit.com13
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
1.Di�iculty : Easy
Topics :
P-block-II,
2.Di�iculty : Easy
Topics :
Surface Chemistry,
Haemoglobin is positively charged sol gold is negatively charged sol option (2) is correct
3.Di�iculty : Easy
Topics :
Solid State,
hcp lattice of
tetrahedral voids
option (1) is correct
4.Di�iculty : Easy
Topics :
P-block-I,
Rao IIT Academy Website : www.raoiit.com14
CHEMISTRY
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
5. Di�iculty : Easy
Topics :
Hydrogen,
Reactions of iodine and hydrongen is a reversible reaction so it requires catalyst for completion
6. Di�iculty : Di�icult
Topics :
Coordination Compounds,
7. Di�iculty : Medium
Topics :
PRACTICAL ORGANIC CHEMISTRY,
Barfoed test: Test for Monosaccharides
Barfoed Reagent: Acetic Acid + Copper (II) acetate
Rao IIT Academy Website : www.raoiit.com15
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
8. Di�iculty : Easy
Topics :
Nomenclature,
9. Di�iculty : Di�icult
Topics :
Chemical Kinetics,
Also
Option (1) is correct
10.Di�iculty : Easy
Topics :
S-block,
Deep blue colour and paramagnetic nature is due to ammoniated electrons.
Solvated or
ammoniated electron
Rao IIT Academy Website : www.raoiit.com16
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
11.Di�iculty : Easy
Topics :
Aromatic compounds,
'A' should be aromatic
12.Di�iculty : Easy
Topics :
Mole concept,
contains moles
Option (1) is correct
13. Di�iculty : Medium
Topics :
BIOMOLECULES ,
: -Aminoacid, Ninhydrin test
: Furfural : Free aldehydic group present : 1-Naphthol
: Benzyl alcohol : ceric ammonium nitrate
: Styrene :
Rao IIT Academy Website : www.raoiit.com17
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
14.Di�iculty : Medium
Topics :
Coordination Compounds,
Cobalt(III) chloride on reaction with ethylenediemine in ratio 1 : 2 2 isomeric products complexes and
15. Di�iculty : Easy
Topics :
Thermodynamics,
hence entropy is decreasing
Option (4) is correct
16. Di�iculty : Medium
Topics :
Metallurgy,
Rao IIT Academy Website : www.raoiit.com18
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
17. Di�iculty : Easy
Topics :
Atomic Structure,
For atom ground state
For excited state
So option is (2) correct
18. Di�iculty : Medium
Topics :
equilibrium,
at
at teq
moles moles
option (2) is correct
Rao IIT Academy Website : www.raoiit.com19
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
19.Di�iculty : Medium
Topics :
Alcohols,
20. Di�iculty : Easy
Topics :
PERIODIC PROPERTIES,
for
21. Di�iculty : Medium
Topics :
CARBOXYLIC ACIDS AND ITS DERIVATIVES,
Rao IIT Academy Website : www.raoiit.com20
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
22.Di�iculty : Easy
Topics :
Aromatic compounds,
Activated rings undergo EAS reaction.
23. Di�iculty : Easy
Topics :
Phenols,
24. Di�iculty : Medium
Topics :
Volumetric analysis,
per molecule of
255. Di�iculty : Di�icult
Topics :
Ethers,
Rao IIT Academy Website : www.raoiit.com21
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
26.Di�iculty : Medium
Topics :
Thermodynamics,
Isothermal compression
27. Di�iculty : Easy
Topics :
Liquid Solutions,
Also
28. Di�iculty : Medium
Topics :
Alcohols,
selective reduction of group to group
and bond to
Rao IIT Academy Website : www.raoiit.com22
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
29. Di�iculty : Medium
Topics :
Electrochemistry,
30.Di�iculty : Easy
Topics :
Environmental Chemistry,
Ozone layer depletion mechanism is not involving the reaction
Rao IIT Academy Website : www.raoiit.com23
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
1.Di�iculty : Easy
Topics :
Probability,
(hitting target)=
(not hitting the target)=
(hitting the target at lest once)=
(nt hitting)
least which satisties above inequality = 5
2. Di�iculty : Medium
Topics :
Circles,
radius of given circle
........(1)
circum radius of equilateral triangle, .........(2)
where a is side of
(Area)
(from (1) & (2))
Rao IIT Academy Website : www.raoiit.com24
MATHEMATICS
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
3.Di�iculty : Easy
Topics :
Parabola,
Parabola
Any point on it is
let, passes through
ends of the chord are
and
distance between the point =
=
Rao IIT Academy Website : www.raoiit.com25
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
4. Di�iculty : Medium
Topics :
Limits,
Let
Which is a linear di�erential equation.
Integrating factor =
=
+
Now,
Now,
Rao IIT Academy Website : www.raoiit.com26
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
5. Di�iculty : Easy
Topics :
Application of derivatives,
Let the roots of are and
=
=
=
=
=
least value of at
6.Di�iculty : Medium
Topics :
Di�erential Equations,
integrating,
.............(1)
(1) passes through (1,1)
Paticular
Solution of the D.t. is
A circle with centre (1,0)
Rao IIT Academy Website : www.raoiit.com27
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
7.Di�iculty : Medium
Topics :
Determinants,
.........(1)
(from (1))
minimum value of
8. Di�iculty : Easy
Topics :
Vectors,
and are collinear
Rao IIT Academy Website : www.raoiit.com28
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
9. Di�iculty : Medium
Topics :
Conics,
..........(1)
(1) represents an ellipse if
and
and
comparing with,
eccentricity,
=
=
(1) represents hyperbola if
as
whose eccentricity
Rao IIT Academy Website : www.raoiit.com29
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
10.Di�iculty : Medium
Topics :
Definite integration,
di�erentiating both sides,
Now
11. Di�iculty : Easy
Topics :
Three Dimensional Geometry,
Any point on this line:
lies on
the point of intersection of given line and plane is (0,1,1)
Rao IIT Academy Website : www.raoiit.com30
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
12.Di�iculty : Medium
Topics :
MATRICES,
To have non trivial solution,
(Not valid)
Satisfy given condition
Rao IIT Academy Website : www.raoiit.com31
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
13. Di�iculty : Medium
Topics :
Solutions of Triangle,
also,
but
So
Rao IIT Academy Website : www.raoiit.com32
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
14.Di�iculty : Medium
Topics :
STATISTICS,
mean
S.D. variance
Now,for
Varience
Rao IIT Academy Website : www.raoiit.com33
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
15. Di�iculty : Di�icult
Topics :
Application of derivatives,
Any point on can be taken as
distance between and is given by
Let
at is minimum
minimum distance
Rao IIT Academy Website : www.raoiit.com34
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
16. Di�iculty : Easy
Topics :
Trigonometric Ratios & Identities,
17. Di�iculty : Easy
Topics :
Straight lines,
Point of intersection of
Point
slope slope
Rao IIT Academy Website : www.raoiit.com35
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
18.Di�iculty : Easy
Topics :
Application of derivatives,
Equation of tangent :
.....(1)
satisfies (1)
19.Di�iculty : Medium
Topics :
Determinants,
always true as
for infinite possibilities exist.
Rao IIT Academy Website : www.raoiit.com36
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
20. Di�iculty : Easy
Topics :
Three Dimensional Geometry,
Given points : and
The plane bisects
Plane passes through :
=
Plane is 1 to
Equation of plane :
satisfies the plane equation.
21. Di�iculty : Easy
Topics :
Geometry of Complex Numbers,
is purely real.
Rao IIT Academy Website : www.raoiit.com37
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
22.Di�iculty : Medium
Topics :
Mathematics,
Rao IIT Academy Website : www.raoiit.com38
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
23.Di�iculty : Easy
Topics :
Functions,
is many-one and onto.
24. Di�iculty : Easy
Topics :
Mathematical reasoning,
is true
is false
is true
Rao IIT Academy Website : www.raoiit.com39
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
25. Di�iculty : Medium
Topics :
Inverse Trigonometric Functions,
.
Rao IIT Academy Website : www.raoiit.com40
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
26.Di�iculty : Medium
Topics :
Properties of di�erentiability functions,
is non-di�erentiable at points
Rao IIT Academy Website : www.raoiit.com41
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
27.Di�iculty : Medium
Topics :
Indefinite integration,
Let
Rao IIT Academy Website : www.raoiit.com42
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
28.Di�iculty : Medium
Topics :
Definite integration,
Points of discontinuity :
Rao IIT Academy Website : www.raoiit.com43
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
29. Di�iculty : Easy
Topics :
Mathematics,
term in is same as constabt term in
is constant term
required term
Coe�. is
Rao IIT Academy Website : www.raoiit.com44
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 10 January-19 Slot- II / Solutions
30. Di�iculty : Di�icult
Topics :
Straight lines,
is vertical Line
is horizontal Line
equation of
slope slope
equation of
Point of intersection of and is
is
is second quadrant.
Rao IIT Academy Website : www.raoiit.com45