rao iit academy date: 02 apr 2017 jee main exam … iit academy / jee - main exam - 2017 / solutions...
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
Rao IIT Academy JEE MAIN EXAM 2017 Solutions / CODE B
Date: 02 Apr 2017
1.
Di�iculty : Easy
Topics :
Simple harmonic motion,
The period of K.E graph is half of the period of displacement graph.Comment :-The points on the graph on -axis should be di�erentiable.In all option mentioned, the graph has cusps at the points on -axis.
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2.
Di�iculty : Easy
Topics :
Physics,Heat and thermodynamics,
3.
Di�iculty : Medium
Topics :
Current electricity,
Null point does not change
4. Di�iculty : Easy
Topics :
Surface tension,
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
5.
Di�iculty : Easy
Topics :
Physics,
Topic - Communication System will not be there in the frequencies.
6.
Di�iculty : Easy
Topics :
Ray Optics,
Diverging lens forms the image at its focus. The image formed by diverging lens in the object to converging lens. Distance of the object from converging lens is i.e., object is at double focal point.
Image forms at double focal point on the other side of the lens.
7.
Di�iculty : Easy
Topics :
Rotational Mechanics,
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
8. Di�iculty : Easy
Topics :
Modern Physics,
or
The graph of Vs is as follows
9.
Di�iculty : Easy
Topics :
Modern Physics,
no. of undecayed nucleus no. of decyaed nucleus is
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
10.
Di�iculty : Medium
Topics :
Electrostatics,
Since dipole moment is in
planeConsider
According to the problem
11.
Di�iculty : Easy
Topics :
Physics,
Topic - SemiconductorVoltage gain of the amplifier is
-Ve sign indicates phase di�erence is
12.
Di�iculty : Easy
Topics :
Physics,Heat and thermodynamics,
for hydrogen
for nitrogen
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
13. Di�iculty : Easy
Topics :
Caloriemetry,
Heat lost by ball = Heat gain by calmimetre and water
14.
Di�iculty : Easy
Topics :
Work ,Energy and power,
15.
Di�iculty : Easy
Topics :
Current electricity,
or
or or or
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
16. Di�iculty : Medium
Topics :
Rotational Mechanics,
Torque of gravity about
or
17.
Di�iculty : Easy
Topics :
Modern Physics,
18.
Di�iculty : Medium
Topics :
Elasticity,
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
19.
Di�iculty : Easy
Topics :
Electromagnetic Induction( EMI ),
or
or
or
or
or
20.
Di�iculty : Easy
Topics :
Wave optics,
4th Bright of will coincide with 5th bright of
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
21. Di�iculty : Easy
Topics :
Physics,
Topic : Classical Magnetism
Time period
22.
Di�iculty : Easy
Topics :
Gravitation,
The desired graph is
23.
Di�iculty : Easy
Topics :
Current electricity,
P.d across each resistor is zero. Hence correct is zero in each resistor.
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
24. Di�iculty : Easy
Topics :
Modern Physics,
25.
Di�iculty : Easy
Topics :
Elasticity,
and
or
26.
Di�iculty : Easy
Topics :
Work ,Energy and power,
or
or
or
or At
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
27.
Di�iculty : Medium
Topics :
Wave optics,
28.
Di�iculty : Easy
Topics :
Current electricity,
By KVL : -
So charge on capacitor is
29.
Di�iculty : Easy
Topics :
Capacitors,
8 rows, then Get
So minimum of capacitors are
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
30.
Di�iculty : Easy
Topics :
Kinematics,
Velocity becomes negative a�er same time and the negative slope is constant.
31. Di�iculty : Easy
Topics :
Straight lines,
or as
Triangle has co-ordinates
As one side is horizontal one altitude will be vertical arthocentre
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
32. Di�iculty : Medium
Topics :
Quadratic Equations,
as
33.
Di�iculty : Medium
Topics :
Functions,One-One Function (Injection),Onto Function (Surjection),
is many one
Range = Co-domain
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
34.
T T T F T T TT F F F T F TF T T T T T TF F T T F T T
Di�iculty : Easy
Topics :
Math,
Topic : Mathematical Reasoning Hence it is aTautology.Alternate :
35.
Di�iculty : Medium
Topics :
Determinants & Matrices,Cramer's Rule,
As system no solution then
when then both equation and obeserv that if then no solutionsif then infinite solutions
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
36.
Di�iculty : Di�icult
Topics :
Math,Area under curve,
Required area
37.
Di�iculty : Medium
Topics :
Sequence & Series,
are in AP
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
38.
Di�iculty : Medium
Topics :
Permutations & Combinations,
39.
Di�iculty : Medium
Topics :
Application of derivatives,
Equation of normal at will be which is satisfied by only in the given options.
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
40.
Di�iculty : Medium
Topics :
Math,Conic Sections,
Which is satisfied by
41.
Di�iculty : Medium
Topics :
Sequence & Series,Functions,
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
42.
Di�iculty : Medium
Topics :
Math,Vectors,
Using (2) in (1) we have
43. Di�iculty : Easy
Topics :
Math,
Topic : Height & Distance
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
44. Di�iculty : Easy
Topics :
Application of derivatives,
45.
Di�iculty : Easy
Topics :
Math,Definite integration,
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
46.
Di�iculty : Easy
Topics :
Di�erential Equations,
...(I)
I.F. of equation (I) is Hence answer is
As So
Now
47.
Di�iculty : Easy
Topics :
Math,Indefinite integration,
(Put n = 4)
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
48.
Di�iculty : Easy
Topics :
Complex Numbers,Cube roots of unity,
i.e. is non-real cube root of unity
and
49.
Di�iculty : Easy
Topics :
Binomial Theorem,
50.
Di�iculty : Easy
Topics :
Limits,
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
51.
Di�iculty : Medium
Topics :
Math,Trigonometric Ratios & Identities,
52.
Di�iculty : Medium
Topics :
Math,Three Dimensional Geometry,
Line PQ parallel to
As point R lies on plane then
Hence point R is (2, 2, 8)
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
53.
Di�iculty : Easy
Topics :
Math,Three Dimensional Geometry,
Normal perpendicular to both the lines
Normal vector parallel to perpendicular
where
Hence equation of plane is
Now distance from point (1, 3, -7) to the plane is
54.
Di�iculty : Medium
Topics :
Math,Di�erentiation of one function with respect to another function,
Put and
as
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
55.
Di�iculty : Medium
Topics :
Circles,Conic Sections,
If the radius of circle is r, then its centre will be
In an isoscales right angled above,
56.
Di�iculty : EasyTopics :Math,Probability,
n = number of trials = 10
p = probability of drawing green ball
= probability of success
q = probability of failure
As the trials are Bernoulli trials, variance = npq
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
Remark : Observe that the required circle does not have to touch both the rays hence the radius of such circle can be as small as one wishes. Hence minimum radius does not exist. (However infimum radius is zero.)
57.
Di�iculty : Easy
Topics :
Conic Sections,
and
Again
Hence equation of ellipse is
and equation of normal at point is:
Equation of normal at point
is
58. Di�iculty : Medium
Topics :
Math,Probability,
Two di�erent numbers are taken from the set
Let x + y = 4m ......(II)x - y = 4n ............ (III), x > yNow x = 2(m+n) y = 2(m-n)Hence both x and y are even numbers Then x and y are both in form of 4k or 4k + 2So order pair of (x, y) are
So Probability
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
59.
Di�iculty : Medium
Topics :
Math,Probability,
P(Exactly one of A or B occurs)
Adding all three
P (Atleast one event occurs) =
60.
Di�iculty : Easy
Topics :
Determinants & Matrices,Adjoint of square Matrix,
61.
Di�iculty : Medium
Topics :
Chemistry,
Topic - Nitrogen containing compoundsAniline undergoes protination in con , so it undergoes metanitration
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
62.
Di�iculty : Easy
Topics :
Chemistry,Thermodynamics,
From First law of Thermodynamics
for an Adiabatic process
63.
Di�iculty : Easy
Topics :
Chemistry,
Topic - AlkylhalidesRate of stabiling
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
64.
Di�iculty : Easy
Topics :
Chemistry,Atomic Structure,
; n = orbit number,
65. Di�iculty : Easy
Topics :
Chemistry,Ionic equilibrium,
For the hydrolysis of a salt of weak acid and weak base
66.
Di�iculty : Medium
Topics :
Chemistry,Polymers,
Nylon - 6 is prepared from caprolactum,caprolactum on hydrolysis it gives aminocarboxylicacid it undergoes polymerisation toform Nylon - 6
67.
Di�iculty : Medium
Topics :
Chemistry,Mole concept,
is by mass is kgs
It replaced by weight is doubled i.e., kg kg increase
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
68. Di�iculty : Medium
Topics :
Chemistry,
Topic - AlkylhalidesTo shown decolourisation compound must be unsaturated
69.
Di�iculty : Medium
Topics :
Chemistry,d-block,
70.
Di�iculty : Di�icult
Topics :
Chemistry,S-block,
form basic carbonate while lithium from normal carbonate .
71.
Di�iculty : Easy
Topics :
Chemistry,
Topic - Hydrocarbons
Product contains two chiral carbons so, 4 S.I
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
72. Di�iculty : Medium
Topics :
Chemistry,Solid State,
Distance of closest approach
73.
Di�iculty : Medium
Topics :
Chemistry,Chemical Kinetics,
(At 300K)
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
74.
Di�iculty : Di�icult
Topics :
Chemistry,CARBONYLS,
75.
Di�iculty : Easy
Topics :
Chemistry,Surface Chemistry,
Tyndall e�ect is observed when (1) The diameter fo the dispersed particle is not much smaller than the wavelength of the light used.(2) The refractive indices of the dispersed phase and dispersion medium di�er greatly in magnitude.
76.
Di�iculty : Di�icult
Topics :
Chemistry,
Topic - Carbohydrates
Sugar with hemiacetal are reducing sugar.
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
77.
Di�iculty : Easy
Topics :
Chemistry,
Topic : Thermochemistry .....(1)
....(2)
.....(3)(1)+2 (2) and +(3)
78.
Di�iculty : Medium
Topics :
Chemistry,P-block,
79.
Di�iculty : Medium
Topics :
Chemistry,S-block,
cold - dil
80.
Di�iculty : Easy
Topics :
Chemistry,
Topic - Hydrocarbons
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
81.
Di�iculty : Di�icult
Topics :
Chemistry,
Topic : Qualitative analysis
is responsible for decolourisation of acidic solution of .
82. Di�iculty : Medium
Topics :
Chemistry,Chemical Bonding,
is diamagnetic only and has bond order 3.0. Rest all are paramagnetic
83.
Di�iculty : Medium
Topics :
Chemistry,Solutions,
Since,
or
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
84.
Di�iculty : Easy
Topics :
Chemistry,GOC,
Non aromatic compunds are less stable than aromatic
85.
Di�iculty : Di�icult
Topics :
Chemistry,
Topic : coordination
No of moles of ions
moles. moles of gives moles of ions
No. of outside the co - ordination sphere should be 2
86.
Di�iculty : Di�icult
Topics :
Chemistry,CARBONYLS,
DIBAL-H can reduce esters only, not carboxylicacids
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B
87.
Di�iculty : Medium
Topics :
Chemistry,
Topic : Environmental science ppm causes brown mottling of teeth
ppm causes laxative ppm causes blue baby syndrome.
88.
Di�iculty : Medium
Topics :
Chemistry,Mole concept,
89. Di�iculty : Medium
Topics :
Chemistry,Electrochemistry,
,
Strongest reducing agent is the atom/ ion which is easily oxidised i.e. having the largest value of standard oxidation potential(SOP)
is the maximum value.
90. Di�iculty : Easy
Topics :
Chemistry,
Topic : Periodic properties in each species (all are isoelectronic).
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Rao IIT Academy / JEE - MAIN EXAM - 2017 / Solutions / CODE - B