1
JEE Advanced 2013 Paper 1 Offline
Numerical
+4
-0
A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s-1 about its own axis, which is vertical. Two uniform circular rings, each of mass 6.25 kg and radius 0.2 m, are gently placed symmetrically on the disc in such a manner that they are touching each other along the axis of the disc and are horizontal. Assume that the friction is large enough such that the rings are at rest relative to the disc and the system rotates about the original axis. The new angular velocity (in rad s-1 ) of the system is
Your input ____
2
JEE Advanced 2013 Paper 1 Offline
MCQ (Single Correct Answer)
+2
-0.5
One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is
A
0.25
B
0.50
C
2.00
D
4.00
3
JEE Advanced 2013 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A solid sphere of radius R and density $$\rho $$ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3$$\rho $$. The complete arrangement is placed in a liquid of density 2$$\rho $$ and is allowed to reach equilibrium. The correct statement(s) is (are)
A
The net elongation of the spring is $${{4\pi {R^3}\rho g} \over {3k}}$$
B
The net elongation of the spring is $${{8\pi {R^3}\rho g} \over {3k}}$$
C
The light sphere is partially submerged
D
The light sphere is completely submerged
4
JEE Advanced 2013 Paper 1 Offline
MCQ (Single Correct Answer)
+2
-0.5
Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their densities is
A
1 : 4
B
1 : 2
C
6 : 9
D
8 : 9
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