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A hole is made at the bottom of a large ...

A hole is made at the bottom of a large vessel open at the top. If water is filled to a height h it drain out completely in time t. The time taken by the water column of height 2h to drain completely is
(a). `sqrt(2t)`
(b). `2t`
(c). `2sqrt(2t)`
(d). `4t`

Text Solution

Verified by Experts

The correct Answer is:
A
Here `(-A(dh)/(dt))=(av)=asqrt(2gh)impliesunderset(0)overset(h)intyh^(-1//2)d=(a)/(A)sqrt(2g)underset(0)overset(h)intdtimpliest=(A)/(a)sqrt((2h)/(g))impliestpropsqrt(h)`
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