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Question

A cylidrical drum, open at the top, contains 30 litres of water. It drains out through a small opening at the bottom. 10 litres of water comes out in time t1, the next 10 litres in further time t2 and the last 10 litres in further time t3. Then,

A
t1=t2=t3
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B
t1>t2>t3
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C
t1<t2<t3
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D
t2<t1=t3
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Solution

The correct option is C t1<t2<t3
Using the torricelli's theorem we know that the velocity of efflux is given as 2gh. Thus we see that the velocity is dependent upon height. As the height decreases the velocity of efflux will also decrease, so time taken by water to drain out of the drum will increase.
Thus option C is correct.

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