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A cylindrical...

Question

A cylindrical drum, open at the top, contains $15$ litres of water. It drains out through a small opening at the bottom. $5$ litres of water comes out in time, $t_{1}$ , the next $5$ litres in further time $t_{2}$ and the last $5$ litres in further time $t_{3}$ . Then

t_{1} < t_{2} < t_{3}

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t_{1} > t_{2} > t_{3}

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t_{1} = t_{2} = t_{3}

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t_{1} > t_{2} = t_{3}

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Solution

The correct option is A $t_{1} < t_{2} < t_{3}$
The velocity in which water is coming out is proportional to the height of water as time increases, water level decreases.
$∴ t_{1} < t_{2} < t_{3}$

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