1
JEE Advanced 2015 Paper 1 Offline
+8
-4

A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of the potential energy of the particle are given in Column I (a and U0 are constants). Match the potential energies in Column I to the corresponding statement(s) in Column II:

A
(A)→(P), (Q), (R); (B)→(Q), (S); (C)→(P), (Q), (R), (S); (D)→(P), (R), (T)
B
(A)→(P), (Q), (R), (T); (B)→(Q), (S); (C)→(P), (Q), (R), (S); (D)→(P), (R), (T)
C
(A)→(P), (Q), (R), (T); (B)→(Q); (C)→(P), (Q), (R), (S); (D)→(P), (R), (T)
D
(A)→(P), (Q), (R), (T); (B)→(Q), (S); (C)→(P), (Q), (R), (S); (D)→(P), (R)
2
JEE Advanced 2014 Paper 2 Offline
+3
-1
A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of the following sketches describes the variation of its kinetic energy K with time t most appropriately? The figures are only illustrative and not to the scale.
A
B
C
D
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 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
4
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
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