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RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
JEE MAINOFFICIAL ONLINE
EXAM / 11 January19Slot II / Solutions
Date: 11 Jan 2019
Rao IIT Academy Website : www.raoiit.com1
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
1. Di�iculty : Easy
Topics :
Newton's Laws of motion,System of particles,
2. Di�iculty : Medium
Topics :
MAGNETISM,
W.D. by magnetic is zero
W.D. =
3. Di�iculty : Easy
Topics :
Electromagnetic waves,
=
Rao IIT Academy Website : www.raoiit.com2
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
4. Di�iculty : Easy
Topics :
Heat and thermodynamics,
5. Di�iculty : Easy
Topics :
Modern Physics,
From to :-
...........(1)
..........(2)
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RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
6. Di�iculty : Medium
Topics :
Wave optics,
single b/w first & second di�raction
Aungular fringe width
No. of bringe =
= 4.81
7. Di�iculty : Easy
Topics :
Current electricity,
Rao IIT Academy Website : www.raoiit.com4
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
8. Di�iculty : Easy
Topics :
Capacitors,
9.Di�iculty : Easy
Topics :
Simple harmonic motion,
Rao IIT Academy Website : www.raoiit.com5
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
10. Di�iculty : Medium
Topics :
Ray Optics,
11. Di�iculty : Easy
Topics :
Modern Physics,
Rao IIT Academy Website : www.raoiit.com6
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
12. Di�iculty : Medium
Topics :
Heat and thermodynamics,
condition :-
condition :-
13. Di�iculty : Medium
Topics :
Rotational Motion,
Taking torque about the point of contact
14. Di�iculty : Easy
Topics :
Electrostatics,
Rao IIT Academy Website : www.raoiit.com7
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
15. Di�iculty : Medium
Topics :
Heat and thermodynamics,
% rise in temp =
16. Di�iculty : Medium
Topics :
First law of thermodynamics,
Constant
For polytropic process
17. Di�iculty : Easy
Topics :
Units,Dimensions & Error analysis,
Rao IIT Academy Website : www.raoiit.com8
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
18. Di�iculty : Easy
Topics :
Simple harmonic motion,
Max K.E.
19. Di�iculty : Medium
Topics :
Current electricity,
N = Total turns
length of winding = (d) diameter (N)
Self inductance increased by 3 times
20. Di�iculty : Medium
Topics :
Equivalent resistance,
Rao IIT Academy Website : www.raoiit.com9
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
21. Di�iculty : Di�icult
Topics :
MAGNETISM,
(Bonus Question)
No option is correct
22. Di�iculty : Medium
Topics :
Simple harmonic motion,
Option (D) is correct
23. Di�iculty : Medium
Topics :
Current electricity,
Option (C) is correct
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RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
24. Di�iculty : Medium
Topics :
Rotational Motion,
(option A is correct)
25.Di�iculty : Easy
Topics :
Kinematics,
Option (C) is correct
26. Di�iculty : Easy
Topics :
Rotational Motion,
(Option (C) is correct)
27. Di�iculty : Medium
Topics :
Heat and thermodynamics,
Rao IIT Academy Website : www.raoiit.com11
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
28. Di�iculty : Easy
Topics :
MAGNETISM,
Option (A) is correct
29. Di�iculty : Medium
Topics :
Communication systems,
Figure of merit
Current senstivity =
30. Di�iculty : Medium
Topics :
Communication systems,
Amplitude varies as 8 to 10 i.e. 9 1
time period as (Sinusoidal wave)
AND (carrier wave)
signal is
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RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
1. Di�iculty : Medium
Topics :
Atomic Structure,
We know
of photoelectron can be written as
2.Di�iculty : Easy
Topics :
Thermodynamics,
Rao IIT Academy Website : www.raoiit.com13
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
3. Di�iculty : Easy
Topics :
BIOMOLECULES AMINOACIDS,
gives phthalein dye test because of phenolic ring
gives ester test
Gives carbolamine test because of amine
4. Di�iculty : Easy
Topics :
CHEMISTRY IN EVERYDAY LIFE,
Taj Mahal is being slowly disfigured and discoloured due to acid rain.
Rao IIT Academy Website : www.raoiit.com14
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
5.Di�iculty : Easy
Topics :
Volumetric analysis,
For solution -
For solution-
Now for solution-
6. Di�iculty : Easy
Topics :
Periodic,
On going le� to right in a period electronegativity increases due to decrease in size and increase in e�ective nuclear charge.
Hence is more electonegative than .
Rao IIT Academy Website : www.raoiit.com15
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
7. Di�iculty : Easy
Topics :
Solid State,
As ball is placed at the edge of a B.C.C. cube.
...... (i)
...... (ii)
8. Di�iculty : Easy
Topics :
GOC,
lone pair of are not in resonance. Hence these are favorable sites for protonation.
9. Di�iculty : Easy
Topics :
d-block,
10. Di�iculty : Easy
Topics :
Polymers,
Rao IIT Academy Website : www.raoiit.com16
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
11. Di�iculty : Easy
Topics :
Chemical equilibrium,
Vont Ho� factor
12. Di�iculty : Easy
Topics :
Thermodynamics,
We know
Given
is
Hence if then endothermic
if then exothermic
13. Di�iculty : Easy
Topics :
AMINES,
Rao IIT Academy Website : www.raoiit.com17
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
14. Di�iculty : Easy
Topics :
Electrochemistry,
15. Di�iculty : Easy
Topics :
Acid base titration,
16. Di�iculty : Easy
Topics :
P-block,
Due to inert pair e�ect on moving down the relative stability of oxidation state increases.
Rao IIT Academy Website : www.raoiit.com18
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
17. Di�iculty : Easy
Topics :
Thermodynamics,
For feasible reaction
18. Di�iculty : Easy
Topics :
Phenols,Alcohols,
decolourises and also reacts with
Rao IIT Academy Website : www.raoiit.com19
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
19. Di�iculty : Medium
Topics :
Coordination Compounds,
is
is bidentate
is monodentate.
The co-ordination number
20. Di�iculty : Medium
Topics :
CHEMISTRY IN EVERYDAY LIFE,
Allosteric e�ect Molecule binding to a site other than the active site of enzyme.
Competitive inhibitor molecular binding to active site of enzyme
Receptor Cruicila molecule for communication in the body.
Poison Molecule binding to enzyme covalently.
21. Di�iculty : Easy
Topics :
d-block,
It is a example of roasting because it is in the presence of
22. Di�iculty : Easy
Topics :
Coordination Compounds,
No. of bond
bonds
Rao IIT Academy Website : www.raoiit.com20
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
23. Di�iculty : Easy
Topics :
GOC,
24. Di�iculty : Medium
Topics :
Aromatic compounds,
25. Di�iculty : Easy
Topics :
Chemical Kinetics,
Zeroth order reaction.
The time taken in reaction of
hence time required for the reaction of
26. Di�iculty : Easy
Topics :
Aromatic compounds,
Rao IIT Academy Website : www.raoiit.com21
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
27. Di�iculty : Easy
Topics :
Liquid Solutions,
Cheese is a colloid in which dispersed phase liquid and continuous phase is solid. In milk dispersion phase and continuousphase both are liquid. In smoke dispersion phase is solid and medium is gas
28. Di�iculty : Medium
Topics :
S-block,
is obtained from solvay process
is the reason of temperorary hardness
is obtained by castner-kellner process
is a ingredient
29. Di�iculty : Di�icult
Topics :
Hydrogen,
is a electron precise hydride
30.Di�iculty : Easy
Topics :
CHEMISTRY IN EVERYDAY LIFE,
causes sti�ness of flower buds
Rao IIT Academy Website : www.raoiit.com22
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
1. Di�iculty : Easy
Topics :
Area under curve,
equation of tanged :
Required area
Rao IIT Academy Website : www.raoiit.com23
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
2.Di�iculty : Easy
Topics :
Parabola,
Rao IIT Academy Website : www.raoiit.com24
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
3. Di�iculty : Di�icult
Topics :
Indefinite integration,
Let
Let
Rao IIT Academy Website : www.raoiit.com25
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
4. Di�iculty : Medium
Topics :
Definite integration,
Let
Rao IIT Academy Website : www.raoiit.com26
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
5. Di�iculty : Easy
Topics :
Determinants & Matrices,
Now,
Rao IIT Academy Website : www.raoiit.com27
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
6. Di�iculty : Medium
Topics :
Di�erential Equations,
Let
7. Di�iculty : Easy
Topics :
Probability,
No. of white balls drawn
Rao IIT Academy Website : www.raoiit.com28
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
8. Di�iculty : Easy
Topics :
Three Dimensional Geometry,Vectors,
Equation of a plane
Rao IIT Academy Website : www.raoiit.com29
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
9. Di�iculty : Easy
Topics :
Functions,
Now for only
Now finally
Range here codomain is subset of range so, question is wrong, but if we so; this is not one-one but codomain considercodomain as
The range codomain, so
10. Di�iculty : Easy
Topics :
Number Systems,
If the squares of two numbers are equal, then the numbers are equal
Rao IIT Academy Website : www.raoiit.com30
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
11. Di�iculty : Medium
Topics :
Quadratic Equations,Inverse Trigonometric Functions,
or
Rao IIT Academy Website : www.raoiit.com31
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
12. Di�iculty : Medium
Topics :
Vectors,
Bisector of and is
Then
Rao IIT Academy Website : www.raoiit.com32
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
13. Di�iculty : Medium
Topics :
Functions,
Required answer
14. Di�iculty : Easy
Topics :
Straight lines,
15. Di�iculty : Easy
Topics :
Hyperbola,
Rao IIT Academy Website : www.raoiit.com33
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
16. Di�iculty : Medium
Topics :
Trigonometric Equations,
17. Di�iculty : Medium
Topics :
Introduction Determinants & Matrices,
Put
So^,
So^,
Rao IIT Academy Website : www.raoiit.com34
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
18.Di�iculty : Medium
Topics :
Solutions of Triangle,
19. Di�iculty : Medium
Topics :
Sequence & Series,
Rao IIT Academy Website : www.raoiit.com35
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
20. Di�iculty : Medium
Topics :
Limits,
.
21. Di�iculty : Medium
Topics :
Sequence & Series,
22. Di�iculty : Medium
Topics :
Mathematics,
Rao IIT Academy Website : www.raoiit.com36
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
23. Di�iculty : Medium
Topics :
Functions,
is increasing
24. Di�iculty : Medium
Topics :
Limits,
R.H.D
L.H.D
L.H.D = R.H.D
is di�esentiable at
is Every where di�erentiable
Rao IIT Academy Website : www.raoiit.com37
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
25. Di�iculty : Medium
Topics :
Conics,
This is parabola
Rao IIT Academy Website : www.raoiit.com38
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
26.Di�iculty : Medium
Topics :
Mathematics,
Now ,
27. Di�iculty : Medium
Topics :
Complex Numbers,
Rao IIT Academy Website : www.raoiit.com39
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
28. Di�iculty : Medium
Topics :
Probability,
Sum should be So we don't want total so;
we can select all except
we can select all except
we can select all except
we can select all except
we can select all except
Required probability
Total No. of subsets
29. Di�iculty : Medium
Topics :
Straight lines,
So point
Reflection is
Rao IIT Academy Website : www.raoiit.com40
RAO IIT ACADEMY / JEE - MAIN OFFICIAL ONLINE EXAM / 11 January-19 Slot- II / Solutions
30. Di�iculty : Medium
Topics :
Conics,
Rao IIT Academy Website : www.raoiit.com41