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Physics of Sound

  1. 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​​
    1. first increase and then decrease
    2. ​first decrease and then increase
    3. go on increasing
    4. go on decreasing
Correct Option: A

Time period of simple pendulum , T = 2π
l
∝ √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.



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