Target Eng-2018 Rao IIT Academy Date: 20 May 2018 JEE ... · RAO IIT ACADEMY Rao IIT Academy / JEE...

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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

Transcript of Target Eng-2018 Rao IIT Academy Date: 20 May 2018 JEE ... · RAO IIT ACADEMY Rao IIT Academy / JEE...

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. Di�iculty : Easy

Topics :

Rotational Mechanics,

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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,

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

4.Di�iculty : Di�icult

Topics :

Electromagnetic Induction( EMI ),

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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).

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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,

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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 

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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, 

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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,

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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,

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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,

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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.

 

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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

(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,

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

5. Di�iculty : Easy

Topics :

Aromatic compounds,

 

 

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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

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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

    

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

10. Di�iculty : Easy

Topics :

Electrochemistry,

Anode :     

Cathode :   

                 __________________________________________________________

                 

                ___________________________________________________________

          

   

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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 

         

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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                                     

      

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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 

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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,

--

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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,

--

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

18. Di�iculty : Medium

Topics :

CARBOXYLIC ACIDS AND ITS DERIVATIVES,

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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.

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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 

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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 

         

    

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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) =

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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

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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             

               

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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 

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

9.Di�iculty : Easy

Topics :

Sequence & Series,

Common series:

        

         

         

         

         

Now   

                                 

                                 

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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 

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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  

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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

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

14. Di�iculty : Easy

Topics :

Area under curve,

Shaded area    of 

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

15.Di�iculty : Easy

Topics :

Circles,

                                           

 collinear having equations as 

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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)

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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.

             

           

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