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RAO IIT ACADEMY / JEE - MAIN EXAM - 2017 / Solutions / CODE - C

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Rao IIT Academy JEE MAIN EXAM 2017 Solutions / CODE C

Date: 02 Apr 2017


1.Di�iculty : Medium

Topics :

Chemistry,Solutions,

Since,

or

2. 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


Topics :

Chemistry,

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



4. Di�iculty : Medium

Topics :

Chemistry,S-block,

cold - dil


Topics :

Chemistry,S-block,

form basic carbonate while lithium from normal carbonate .


Topics :

Chemistry,

Topic : Environmental science ppm causes brown mottling of teeth

ppm causes laxative ppm causes blue baby syndrome.


Topics :

Chemistry,Polymers,

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



8. 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.


Topics :

Chemistry,Ionic equilibrium,

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


Topics :

Chemistry,CARBONYLS,

DIBAL-H can reduce esters only, not carboxylicacids




Topics :

Chemistry,

Topic - Carbohydrates

Sugar with hemiacetal are reducing sugar.


Topics :

Chemistry,CARBONYLS,


Topics :

Chemistry,Chemical Bonding,

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




Topics :

Chemistry,

Topic - AlkylhalidesTo shown decolourisation compound must be unsaturated


Topics :

Chemistry,P-block,


Topics :

Chemistry,Thermodynamics,

From First law of Thermodynamics

for an Adiabatic process




Topics :

Chemistry,GOC,

Non aromatic compunds are less stable than aromatic


Topics :

Chemistry,

Topic - AlkylhalidesRate of stabiling




Topics :

Chemistry,Mole concept,


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 - Hydrocarbons


Topics :

Chemistry,

Topic : Thermochemistry .....(1)

....(2)

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


Topics :

Chemistry,d-block,



25.Di�iculty : Easy

Topics :

Chemistry,Atomic Structure,

; n = orbit number,


Topics :

Chemistry,Chemical Kinetics,

(At 300K)


Topics :

Chemistry,Solid State,

Distance of closest approach


Topics :

Chemistry,

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




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,

Topic - Hydrocarbons

Product contains two chiral carbons so, 4 S.I


Topics :

Math,Definite integration,




Topics :

Math,Indefinite integration,

(Put n = 4)


Topics :

Math,Area under curve,

Required area




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 :

Di�erential Equations,

...(I)

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

As So

Now




Topics :

Complex Numbers,Cube roots of unity,

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

and


Topics :

Math,Vectors,

Using (2) in (1) we have



38.

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,

39.

Di�iculty : Medium

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

Put and

as


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.)



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 :

Limits,


Topics :

Binomial Theorem,




Topics :

Math,Probability,

P(Exactly one of A or B occurs)

Adding all three

P (Atleast one event occurs) =


Topics :

Math,

Topic : Height & Distance




Topics :

Conic Sections,

and

Again

Hence equation of ellipse is

and equation of normal at point is:

Equation of normal at point

is


Topics :

Quadratic Equations,

as



47.

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


Topics :

Application of derivatives,

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


Topics :

Sequence & Series,

are in AP


Hence it is a Tautology.

Alternate :



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,Trigonometric Ratios & Identities,




Topics :

Sequence & Series,Functions,


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 :

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 :

Determinants & Matrices,Adjoint of square Matrix,


Topics :

Math,Conic Sections,

Which is satisfied by




Topics :

Straight lines,

or as

Triangle has co-ordinates

As one side is horizontal one altitude will be vertical arthocentre


Topics :

Application of derivatives,




Topics :

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

is many one

Range = Co-domain


Topics :

Permutations & Combinations,




Topics :

Wave optics,


Topics :

Surface tension,


Topics :

Modern Physics,




Topics :

Work ,Energy and power,


Topics :

Physics,Heat and thermodynamics,

for hydrogen

for nitrogen




Topics :

Rotational Mechanics,


Topics :

Modern Physics,

no. of undecayed nucleus no. of decyaed nucleus is




Topics :

Current electricity,

Null point does not change


Topics :

Capacitors,

8 rows, then Get

So minimum of capacitors are




Topics :


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 - Communication System will not be there in the frequencies.




Topics :

Physics,

Topic - SemiconductorVoltage gain of the amplifier is

-Ve sign indicates phase di�erence is


Topics :

Caloriemetry,

Heat lost by ball = Heat gain by calmimetre and water


Topics :

Wave optics,

4th Bright of will coincide with 5th bright of




Topics :

Electrostatics,

Since dipole moment is in

planeConsider

According to the problem


Topics :

Rotational Mechanics,

Torque of gravity about

or




Topics :

Elasticity,

and

or


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 :

Modern Physics,

or

The graph of Vs is as follows




Topics :

Physics,Heat and thermodynamics,


Topics :

Electromagnetic Induction( EMI ),

or

or

or

or

or


Topics :


or

or or or




Topics :

Work ,Energy and power,

or

or

or

or At


Topics :

Physics,

Topic : Classical Magnetism

Time period




Topics :

Gravitation,

The desired graph is


Topics :

Kinematics,

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


Topics :

Modern Physics,




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 :

Elasticity,


rao it acade date apr je main exam 2017 solutions / code c · rao iit academy / jee - main exam -...

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