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Exam Details

JEE ADVANCED 2013 PAPER 2 OFFLINE

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Questions 60
Duration 180 mins
Package IIT-JEE Advance - Previous Year Papers

Paper pattern & analysis

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Showing all 60 questions in this paper.

Subject distribution

Physics
20 Qs
Chemistry
20 Qs
Mathematics
20 Qs

Topic distribution

Algebra
10 Qs
Mechanics
8 Qs
Physical Chemistry
7 Qs
Inorganic Chemistry
7 Qs
Electricity
6 Qs
Organic Chemistry
6 Qs
Modern Physics
5 Qs
Coordinate Geometry
4 Qs
Calculus
4 Qs
Trigonometry
2 Qs
Optics
1 Qs

Subtopic distribution

Atoms And Nuclei
4 Qs
P Block Elements
4 Qs
Magnetism
3 Qs
Alcohols Phenols And Ethers
3 Qs
Aldehydes Ketones And Carboxylic Acids
3 Qs
Complex Numbers
3 Qs
Parabola
3 Qs
Application Of Derivatives
3 Qs
Work Power And Energy
2 Qs
Thermodynamics
2 Qs
Electrochemistry
2 Qs
Salt Analysis
2 Qs

Difficulty distribution

Medium 37 61.7%
Easy 12 20%
Hard 11 18.3%

Question type distribution

Multiple Choices 60 100%

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2013 · Physics · Electricity · Magnetism
JEE ADVANCED 2013 PAPER 2 OFFLINE

A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coaxially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current I. Consider a point P at a distance r from the common axis. The correct statement(s) is(are)

A
In the region 0 < r < R, the magnetic field is non-zero.
B
In the region R < r < 2R, the magnetic field is along the common axis.
C
In the region R < r < 2R, the magnetic field is tangential to the circle of radius r, centred on the axis.
D
In the region r > 2R, the magnetic field is non-zero.
2
2013 · Chemistry · Physical Chemistry · Chemical Equilibrium
JEE ADVANCED 2013 PAPER 2 OFFLINE
The thermal dissociation equilibrium of CaCO3(s) is studied under different conditions

CaCO3(s) \(\leftrightharpoons\) CaO(s) + CO2(g).

For this equilibrium, the correct statement(s) is (are)
A
\(\Delta H\) is dependent on T
B
K is independent of the initial amount of CaCO3
C
K is dependent on the pressure of CO2 at a given T
D
\(\Delta H\) is independent of catalyst, if any
3
2013 · Mathematics · Algebra · Quadratic Equation And Inequalities
JEE ADVANCED 2013 PAPER 2 OFFLINE
If \({3^x}\, = \,{4^{x - 1}},\) then \(x\, =\)
A
\({{2{{\log }_3}\,2} \over {2{{\log }_3}\,2 - 1}}\)
B
\({2 \over {2 - {{\log }_2}\,3}}\)
C
\({1 \over {1 - {{\log }_4}\,3}}\)
D
\({{2{{\log }_2}\,3} \over {2{{\log }_2}\,3 - 1}}\)
4
2013 · Physics · Mechanics · Impulse And Momentum
JEE ADVANCED 2013 PAPER 2 OFFLINE
A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at time t = 0 with an initial velocity u0. When the speed of the particle is 0.5 u0. It collides elastically with a rigid wall. After this collision,
A
the speed of the particle when it returns to its equilibrium position is u0.
B
the time at which the particle passes through the equilibrium position for the first time is \(t = \pi \sqrt {{m \over k}}\)
C
the time at which the maximum compression of the spring occurs is \(t = {{4\pi } \over 3}\sqrt {{m \over k}}\)
D
the time at which the particle passes through the equilibrium position for the second time is \(t = {{5\pi } \over 3}\sqrt {{m \over k}}\)
5
2013 · Chemistry · Physical Chemistry · Chemical Kinetics And Nuclear Chemistry
JEE ADVANCED 2013 PAPER 2 OFFLINE
In the nuclear transmutation

9Be4 + X \(\to\) 8Be4 + Y

(X, Y) is (are) :
A
\((\gamma ,n)\)
B
(p, D)
C
(n, D)
D
\((\gamma ,p)\)
6
2013 · Mathematics · Algebra · Vector Algebra
JEE ADVANCED 2013 PAPER 2 OFFLINE
match List \(I\) with List \(II\) and select the correct answer using the code given below the lists:

\(\,\,\,\,\) \(\,\,\,\,\) \(\,\,\,\,\) List \(I\)
(P.)\(\,\,\,\,\) Volume of parallelopiped determined by vectors \(\overrightarrow a ,\overrightarrow b\) and \(\overrightarrow c\) is \(2.\) Then the volume of the parallelepiped determined by vectors \(2\left( {\overrightarrow a \times \overrightarrow b } \right),3\left( {\overrightarrow b \times \overrightarrow c } \right)\) and \(\left( {\overrightarrow c \times \overrightarrow a } \right)\) is
(Q.)\(\,\,\,\,\) Volume of parallelopiped determined by vectors \(\overrightarrow a ,\overrightarrow b\) and \(\overrightarrow c\) is \(5.\) Then the volume of the parallelepiped determined by vectors \(3\left( {\overrightarrow a + \overrightarrow b } \right),\left( {\overrightarrow b + \overrightarrow c } \right)\) and \(2\left( {\overrightarrow c + \overrightarrow a } \right)\) is
(R.)\(\,\,\,\,\) Area of a triangle with adjacent sides determined by vectors \({\overrightarrow a }\) and \({\overrightarrow b }\) is \(20.\) Then the area of the triangle with adjacent sides determined by vectors \(\left( {2\overrightarrow a + 3\overrightarrow b } \right)\) and \(\left( {\overrightarrow a - \overrightarrow b } \right)\) is
(S.)\(\,\,\,\,\) Area of a parallelogram with adjacent sides determined by vectors \({\overrightarrow a }\) and \({\overrightarrow b }\) is \(30.\) Then the area of the parallelogram with adjacent sides determined by vectors \(\left( {\overrightarrow a + \overrightarrow b } \right)\) and \({\overrightarrow a }\) is

\(\,\,\,\,\) \(\,\,\,\,\) \(\,\,\,\,\) List \(II\)
(1.)\(\,\,\,\,\) \(100\)
(2.)\(\,\,\,\,\) \(30\)
(3.)\(\,\,\,\,\) \(24\)
(4.)\(\,\,\,\,\) \(60\)

A
\(P = 4,Q = 2,R = 3,S = 1\)
B
\(P = 2,Q = 3,R = 1,S = 4\)
C
\(P = 3,Q = 4,R = 1,S = 2\)
D
\(P = 1,Q = 4,R = 3,S = 2\)