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A sphere rolls down on two inclined planes of different angles but same height, it does so
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- in the same time
- with the same speed
- in the same time with the same speed
- in the same time with the same kinetic energy
- in the same time
Correct Option: B
The velocity of the sphere at the bottom depends only on height and acceleration due to gravity. Both these values are constants. Therefore, the velocity at the bottom remains the same whichever inclined plane the sphere is rolled. However, the sphere will take longer time to reach the bottom of the inclined plane having the smaller inclination. The kinetic energy will be the same. What will differ is time taken to reach the bottom.
