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There is a hole at the bottom of a large...

There is a hole at the bottom of a large open vessel. If water is filled upto a height h, it flows out in time t. if water is filled to a height 4h, it will flow out in time

A

t

B

`4t`

C

`2t`

D

`t//4`

Text Solution

Verified by Experts

The correct Answer is:
C

Time required to emptied the tank `t=(A)/(A_(0)) sqrt((2H)/(g)) implies (t_(2))/(t_(1)) = sqrt((H_(2))/(H_(1))) = sqrt((4h)/(h))=2 therefore t_(2)=2t`
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