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A hollow sphere is filled with water. It is hung by a long thread. As the water flows out of a hole at the bottom, the period of oscillation will
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- first increase and then decrease
- first decrease and then increase
- go on increasing
- go on decreasing
Correct Option: A
Time period of simple pendulum , T = 2π | ![]() | ||
![]() | ![]() | ∝ √l | |
g |
where l is effective length.
[i.e distance between centre of suspension and centre of gravity of bob]
Initially, centre of gravity is at the centre of sphere. When water leaks the centre of gravity goes down until it is half filled; then it begins to go up and finally it again goes at the centre. That is effective length first increases and then decreases. As T ∝ √l , so time period first increases and then decreases.