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RAO IIT ACADEMY / JEE - MAIN EXAM - 2017 / SOLUTIONS / CODE - A

1. Di�iculty : Medium

Topics :

Elasticity,

2. Di�iculty : Easy

Topics :

Kinematics,

Velocity becomes negative a�er same time and the negative slope is constant.

3.Di�iculty : Easy

Topics :

Work ,Energy and power,

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Topics :

Work ,Energy and power,

or

or

or

or At


Topics :

Rotational Mechanics,



6.Di�iculty : Medium

Topics :

Rotational Mechanics,

Torque of gravity about

or


Topics :

Gravitation,

The desired graph is




Topics :

Caloriemetry,

Heat lost by ball = Heat gain by calmimetre and water


Topics :

Elasticity,

and

or


Topics :

Physics,Heat and thermodynamics,

for hydrogen

for nitrogen




Topics :

Physics,Heat and thermodynamics,


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.


Topics :

Wave optics,




Topics :

Electrostatics,

Since dipole moment is in

planeConsider

According to the problem


Topics :

Capacitors,

8 rows, then Get

So minimum of capacitors are




Topics :

Current electricity,

By KVL : -

So charge on capacitor is


Topics :


P.d across each resistor is zero. Hence correct is zero in each resistor.


Topics :

Physics,

Topic : Classical Magnetism

Time period




Topics :


or

or or or


Topics :

Electromagnetic Induction( EMI ),

or

or

or

or

or




Topics :

Modern Physics,

or

The graph of Vs is as follows


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.




Topics :

Wave optics,

4th Bright of will coincide with 5th bright of


Topics :

Modern Physics,




Topics :

Modern Physics,


Topics :

Modern Physics,

no. of undecayed nucleus no. of decyaed nucleus is


Topics :

Physics,

Topic - SemiconductorVoltage gain of the amplifier is

-Ve sign indicates phase di�erence is




Topics :

Physics,

Topic - Communication System will not be there in the frequencies.


Topics :


Null point does not change


Topics :

Surface tension,




Topics :

Chemistry,

Topic : Thermochemistry .....(1)

....(2)

.....(3)(1)+2 (2) and +(3)


Topics :

Chemistry,Mole concept,


Topics :

Chemistry,Thermodynamics,

From First law of Thermodynamics

for an Adiabatic process


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.




Topics :

Chemistry,Solid State,

Distance of closest approach


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.


Topics :

Chemistry,Solutions,

Since,

or




Topics :

Chemistry,Atomic Structure,

; n = orbit number,


Topics :

Chemistry,Chemical Kinetics,

(At 300K)


Topics :

Chemistry,Ionic equilibrium,

For the hydrolysis of a salt of weak acid and weak base

41. Di�iculty : Di�icult

Topics :

Chemistry,S-block,

form basic carbonate while lithium from normal carbonate .




Topics :

Chemistry,Chemical Bonding,

is diamagnetic only and has bond order 3.0. Rest all are paramagnetic


Topics :

Chemistry,P-block,


Topics :

Chemistry,

Topic : Environmental science ppm causes brown mottling of teeth

ppm causes laxative ppm causes blue baby syndrome.


Topics :

Chemistry,

Topic : Periodic properties in each species (all are isoelectronic).




Topics :

Chemistry,S-block,

cold - dil


Topics :

Chemistry,d-block,

48.Di�iculty : Di�icult

Topics :

Chemistry,

Topic : Qualitative analysis

is responsible for decolourisation of acidic solution of .


Topics :

Chemistry,Mole concept,

is by mass is kgs

It replaced by weight is doubled i.e., kg kg increase




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


Topics :

Chemistry,

Topic - Nitrogen containing compoundsAniline undergoes protination in con , so it undergoes metanitration


Topics :

Chemistry,

Topic - AlkylhalidesTo shown decolourisation compound must be unsaturated




Topics :

Chemistry,Polymers,

Nylon - 6 is prepared from caprolactum,caprolactum on hydrolysis it gives aminocarboxylicacid it undergoes polymerisation toform Nylon - 6


Topics :

Chemistry,GOC,

Non aromatic compunds are less stable than aromatic




Topics :

Chemistry,

Topic - AlkylhalidesRate of stabiling


Topics :

Chemistry,

Topic - Hydrocarbons




Topics :

Chemistry,

Topic - Carbohydrates

Sugar with hemiacetal are reducing sugar.


Topics :

Chemistry,

Topic - Hydrocarbons

Product contains two chiral carbons so, 4 S.I



59.Di�iculty : Di�icult

Topics :

Chemistry,CARBONYLS,


Topics :

Chemistry,CARBONYLS,

DIBAL-H can reduce esters only, not carboxylicacids




Topics :

Functions,One-One Function (Injection),Onto Function (Surjection),

is many one

Range = Co-domain


Topics :

Quadratic Equations,

as




Topics :

Complex Numbers,Cube roots of unity,

i.e. is non-real cube root of unity

and


Topics :

Determinants & Matrices,Adjoint of square Matrix,


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




Topics :

Permutations & Combinations,


Topics :

Binomial Theorem,


Topics :

Sequence & Series,

are in AP




Topics :

Sequence & Series,Functions,


Topics :

Limits,




Topics :

Math,Di�erentiation of one function with respect to another function,

Put and

as


Topics :

Application of derivatives,

Equation of normal at will be which is satisfied by only in the given options.




Topics :

Application of derivatives,


Topics :

Math,Indefinite integration,

(Put n = 4)




Topics :

Math,Definite integration,


Topics :

Math,Area under curve,

Required area




Topics :

Di�erential Equations,

...(I)

I.F. of equation (I) is Hence answer is

As So

Now


Topics :

Straight lines,

or as

Triangle has co-ordinates

As one side is horizontal one altitude will be vertical arthocentre




Topics :

Circles,Conic Sections,

If the radius of circle is r, then its centre will be

In an isoscales right angled above,


Topics :

Conic Sections,

and

Again

Hence equation of ellipse is

and equation of normal at point is:

Equation of normal at point

is




Topics :

Math,Conic Sections,

Which is satisfied by


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




Topics :

Math,Three Dimensional Geometry,

Line PQ parallel to

As point R lies on plane then

Hence point R is (2, 2, 8)


Topics :

Math,Vectors,

Using (2) in (1) we have




Topics :

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


Topics :

Math,Probability,

P(Exactly one of A or B occurs)

Adding all three

P (Atleast one event occurs) =




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


Topics :

Math,Trigonometric Ratios & Identities,




Topics :

Math,

Topic : Height & Distance

90.

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 a Tautology

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