1.

A hollow pendulum bob filled with water has a small hole at the bottom through which water escapes at a constant rate. Which of the following statements describes the variation of the time period T of the pendulum as the water flows out?(a) T decreases first and then increases(b) T increases first and then decreases(c) T increases throughout(d) T does not change

Answer»

Answer is : (b) T increases first and then decreases

Time period of a pendulum depends on its length as

T ∝ √I

where, l = length of pendulum.

As water flows out of the bob of pendulum, centre of mass of bob go down as the level of water falls. But when bob is completely emptied, centre of mass of bob again reaches to its centre. Hence, effective length of pendulum first increases then decreases.

So, time period of pendulum first increases then decreases.



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