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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. 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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