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A tank has a hole at its bottom. The tim...

A tank has a hole at its bottom. The time needed to empty the tank from level `h_(1)` to `h_(2)` will be proportional to

A

`h_(1)+h_(2)`

B

`sqrt(h_(1))+sqrt(h_(2))`

C

`h_(1)-h_(2)`

D

`sqrt(h_(1))-sqrt(h_(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`A_(1)V_(1)=A_(2)V_(2)impliesasqrt(2gh)=A(-(dh)/(dt))`
`implies(a)/(A)underset(0)overset(t)dt=-Aunderset(h_(1))overset(h_(2))int(dh)/(sqrt(2gh))`
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