1
JEE Advanced 2013 Paper 2 Offline
+3
-0.75
Match List I with List II and select the correct answer using the codes given below the lists:

List I

P. Boltzmann Constant
Q. Coefficient of viscosity
R. Plank Constant
S. Thermal conductivity

List II

1. [ML2T-1]
2. [ML-1T-1]
3. [MLT-3K-1]
4. [ML2T-2K-1]
A
\eqalign{ & P\,\,\,\,Q\,\,\,\,R\,\,\,\,S \cr & 3\,\,\,\,\,\,1\,\,\,\,\,2\,\,\,\,\,4 \cr}
B
\eqalign{ & P\,\,\,\,Q\,\,\,\,R\,\,\,\,S \cr & 3\,\,\,\,\,\,2\,\,\,\,\,1\,\,\,\,\,4 \cr}
C
\eqalign{ & P\,\,\,\,Q\,\,\,\,R\,\,\,\,S \cr & 4\,\,\,\,\,\,2\,\,\,\,\,1\,\,\,\,\,3 \cr}
D
\eqalign{ & P\,\,\,\,Q\,\,\,\,R\,\,\,\,S \cr & 4\,\,\,\,\,\,1\,\,\,\,\,2\,\,\,\,\,3 \cr}
2
JEE Advanced 2013 Paper 2 Offline
+3
-0.75

A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the instantaneous velocity. The work done in overcoming the friction up to the point Q, as shown in the figure, below, is 150 J. (Take the acceleration due to gravity, g = 10 m/s2) The speed of the block when it reaches the point Q is

A
5 ms-1
B
10 ms-1
C
$$10\sqrt 3$$ ms-1
D
20 ms-1
3
JEE Advanced 2013 Paper 2 Offline
+3
-0.75

A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the instantaneous velocity. The work done in overcoming the friction up to the point Q, as shown in the figure, below, is 150 J. (Take the acceleration due to gravity, g = 10 m/s2) The magnitude of the normal reaction that acts on the block at the point Q is

A
7.5 N
B
8.6 N
C
11.5 N
D
22.5 N
4
JEE Advanced 2013 Paper 2 Offline
MCQ (More than One Correct Answer)
+3
-0.75
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 $$t = {{5\pi } \over 3}\sqrt {{m \over k}}$$
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