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JEE Advanced Model Paper 12 with solutions for online practice

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Question : 15

Total: 60

smooth hemisphere of mass m and radius r is at rest. A smooth solid sphere of mass 2m and radius r moving with velocity V0 between two horizontal smooth surfaces separated by a distance slightly greater than 2R as shown in figure. Solid sphere collides with the hemisphere. If coefficient of restitution is

The speed of hemisphere after collision is V0
The speed of solid sphere after collision is
V0
2
The loss in kinetic energy of the system is
mV02
4
The final kinetic energy of hemisphere is 1/4 th the initial kinetic energy of the sphere

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