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RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions Target Eng-2018 Rao IIT Academy JEE ADVANCED EXAM 2018 / PAPER - 1 Solutions Date: 20 May 2018 1. Diiculty : Easy Topics : Rotational Mechanics, Rao IIT Academy Website : www.raoiit.com 1 PHYSICS

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### Transcript of Target Eng-2018 Rao IIT Academy Date: 20 May 2018 JEE ... Advanced/2018/Jee Advanced Paper-1... ·...

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

EXAM ­ 2018 / PAPER - 1 Solutions

Date: 20 May 2018

1. Di�iculty : Easy

Topics :

Rotational Mechanics,

Rao IIT Academy Website : www.raoiit.com1

PHYSICS

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

2.Di�iculty : Medium

Topics :

Rotational Mechanics,

3. Di�iculty : Medium

Topics :

Surface tension,

Rao IIT Academy Website : www.raoiit.com2

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

4.Di�iculty : Di�icult

Topics :

Electromagnetic Induction( EMI ),

Rao IIT Academy Website : www.raoiit.com3

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

5.Di�iculty : Medium

Topics :

MAGNETISM,

6. Di�iculty : Easy

Topics :

Heat and thermodynamics,

Process-2 is isothermal expansion

Process-4 is isothermal compression

Process-1 is not isochoric

Hence (1) and (3) not isobaric

Correct options are (B), (C) and (D).

Rao IIT Academy Website : www.raoiit.com4

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

7.Di�iculty : Medium

Topics :

Vectors,

8. Di�iculty : Easy

Topics :

Sound wave,

Rao IIT Academy Website : www.raoiit.com5

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

9.Di�iculty : Easy

Topics :

Rotational Mechanics,

10. Di�iculty : Medium

Topics :

System of particles,

subtracting

It will reach natural length a�er half time period

Rao IIT Academy Website : www.raoiit.com6

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

11. Di�iculty : Medium

Topics :

Capacitors,

Initial a�er  \ fully charged

Now

12.Di�iculty : Easy

Topics :

MAGNETISM,

Average speed is a scalar quantity,

Rao IIT Academy Website : www.raoiit.com7

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

13. Di�iculty : Di�icult

Topics :

Ray Optics,

14.Di�iculty : Easy

Topics :

Heat and thermodynamics,

Rao IIT Academy Website : www.raoiit.com8

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

15. Di�iculty : Easy

Topics :

Units,Dimensions & Error analysis,

16. Di�iculty : Easy

Topics :

Units,Dimensions & Error analysis,

Rao IIT Academy Website : www.raoiit.com9

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

17. Di�iculty : Medium

Topics :

Errors,

18. Di�iculty : Medium

Topics :

Errors,

Rao IIT Academy Website : www.raoiit.com10

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions CHEMISTRY

1.Di�iculty : Easy

Topics :

P-block,

(B)

(C)

will

produce

is

thermally

stable

.

2. Di�iculty : Medium

Topics :

Coordination Compounds,

Total no. of value

: Low spin

Total no. of value

: Low spin

Metal carbonyl bond strengths when the O.S of metal is lower because of increse in back bonding.

Rao IIT Academy Website : www.raoiit.com11

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

3. Di�iculty : Easy

Topics :

P-block,

(A) Down the group basic character increases of oxides of group 15

(B)    is dominate in ionic character due to metallic character of

(C) B.P.

H-bonding in

4. Di�iculty : Di�icult

Topics :

Alkyl halides,

Rao IIT Academy Website : www.raoiit.com12

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

5. Di�iculty : Easy

Topics :

Aromatic compounds,

Rao IIT Academy Website : www.raoiit.com13

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

6. Di�iculty : Medium

Topics :

Thermodynamics,

Process AB is isothermal

BC is isobasic

CA is isochoric

(A)

(B)

(C)

is negative    so

and

(D)

But

7. Di�iculty : Medium

Topics :

Coordination Compounds,

Only   has   unpaired electrone s

Rao IIT Academy Website : www.raoiit.com14

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

8. Di�iculty : Medium

Topics :

Mole concept,Coordination Compounds,

Molecular weight of

Molecular weight of

Molecular weight of

Molecular weight of

moles of

Moles of

Moles of

Mass of complex formed

Total mass = mass of   mass of complex

9. Di�iculty : Medium

Topics :

Solid State,

In rock salt structrue   (anion) F.C.C packed and   present in octahedral void but here   F.C.C and   inoctahedral void.

(i) Remove all the anions(X) except central one so one anion remain

(ii) Replace all the FCC cation (M) by anion

(iii) Remove all the corner cation   so

(iv) Now replace anion   with cation

so

In Z

Rao IIT Academy Website : www.raoiit.com15

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

10. Di�iculty : Easy

Topics :

Electrochemistry,

Anode :

Cathode :

__________________________________________________________

___________________________________________________________

Rao IIT Academy Website : www.raoiit.com16

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

11.Di�iculty : Medium

Topics :

Gaseous State,

At equilibrium   as well as

So, general equation

Before equilibrium for compartment

....(1)

For compartment

....(2)

equation (1) / (2)

Total volume

Rao IIT Academy Website : www.raoiit.com17

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

12. Di�iculty : Easy

Topics :

Solution of gases in liquids,

For equimolar

So mole fractions

According to Rault's law

.....(1)

Now               ......(2)

Given,

from equation (1)

Now

so

Rao IIT Academy Website : www.raoiit.com18

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

13. Di�iculty : Di�icult

Topics :

Ionic equilibrium,

Let solubility of salt   is

Now

and

so

So

Rao IIT Academy Website : www.raoiit.com19

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

14. Di�iculty : Medium

Topics :

Liquids and gases,

For

From graph

For dimerization

Now            ...(1)

...(2)

Now equation (1) / (2)

Now

15.Di�iculty : Di�icult

Topics :

Aromatic compounds,

--

Rao IIT Academy Website : www.raoiit.com20

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

16.Di�iculty : Medium

Topics :

Aromatic compounds,

17. Di�iculty : Medium

Topics :

CARBOXYLIC ACIDS AND ITS DERIVATIVES,

--

Rao IIT Academy Website : www.raoiit.com21

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

18. Di�iculty : Medium

Topics :

CARBOXYLIC ACIDS AND ITS DERIVATIVES,

Rao IIT Academy Website : www.raoiit.com22

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

1. Di�iculty : Medium

Topics :

Complex Numbers,

which is discontinuous at

generates circle.

Rao IIT Academy Website : www.raoiit.com23

MATHEMATICS

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

2. Di�iculty : Easy

Topics :

Solutions of Triangle,

triangle is isosceles.

area of

So area of circumcircle

Rao IIT Academy Website : www.raoiit.com24

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

3. Di�iculty : Easy

Topics :

Three Dimensional Geometry,

are dr's of line

...(1)

...(2)

which is parallel to the line of intersection.

plane through   having dr's as

Rao IIT Academy Website : www.raoiit.com25

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

4.Di�iculty : Di�icult

Topics :

Application of derivatives,

...(1)

given relation

or                        ...(2)

is one one in

is twice di�erentiable   with   we can say if there exist a function  satisfying the above conditions, then  will also satisfy otherwise

as

Take

Using LMVT

for

...(1)

...(2)

(1) + (2) =       ...(3)

Similarly,

for

...(7)

Now (3) and (7) =

Rao IIT Academy Website : www.raoiit.com26

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

5. Di�iculty : Di�icult

Topics :

Application of derivatives,Indefinite integration,

Given is :

integrating :

as

...(1)

...(2)

as

as well as

Rao IIT Academy Website : www.raoiit.com27

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

6. Di�iculty : Medium

Topics :

Area of triangle,Di�erential Equations,Definite integration,

...(1)

is a point on   curve.

di�erentiating :        using (1)

Solution :

passing through

does not lie on               lies on

Rao IIT Academy Website : www.raoiit.com28

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

7.Di�iculty : Easy

Topics :

LOGARITHMS,

8. Di�iculty : Easy

Topics :

Permutations & Combinations,

Number to be used

repetition is allowed and number should be   digit divisible by

i.e., last two digits should be divisible by

The possibilities of last two digits are as   and remaining 3 places can be filled in   ways

Anser is

Rao IIT Academy Website : www.raoiit.com29

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

9.Di�iculty : Easy

Topics :

Sequence & Series,

Common series:

Now

Rao IIT Academy Website : www.raoiit.com30

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

10. Di�iculty : Medium

Topics :

Inverse of a Function,Application of derivatives,

Now

using given expression

is one root.

is increasing

One root in

Rao IIT Academy Website : www.raoiit.com31

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

11.Di�iculty : Easy

Topics :

Sum of limits using integration,Definite integration,

taking log:

Now

Rao IIT Academy Website : www.raoiit.com32

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

12. Di�iculty : Medium

Topics :

Vectors,

are unit vectors i.e.

...(1)

...(2)

using (1)

Similarly

putting  and   in (2)

13. Di�iculty : Easy

Topics :

Trigonometric Equations,

using tranformation formula

Rao IIT Academy Website : www.raoiit.com33

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

14. Di�iculty : Easy

Topics :

Area under curve,

Rao IIT Academy Website : www.raoiit.com34

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

15.Di�iculty : Easy

Topics :

Circles,

collinear having equations as

Rao IIT Academy Website : www.raoiit.com35

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

16. Di�iculty : Easy

Topics :

Circles,

tangent at

Let Mid-point of   be

...(1)

...(2)

Rao IIT Academy Website : www.raoiit.com36

RAO IIT ACADEMY Rao IIT Academy / JEE - ADVANCED EXAM - 2018 / PAPER - 1 / Solutions

17. Di�iculty : Easy

Topics :

Probability,

No. of ways of derranging 4 objects

18.Di�iculty : Di�icult

Topics :

Probability,

is an event s.t.   and   do not sit adjacent to one another.

Rao IIT Academy Website : www.raoiit.com37