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Water flows into a large tank with flat ...

Water flows into a large tank with flat bottom at the rate of `10^(-4) m^(3)s^(-1)`. Water is also leaking out of a hole of area 1 `cm^(2)` at its bottom. If the height of the water in the tank remains steady, then this height is :

A

2.9 cm

B

1.7 cm

C

4 cm

D

5.1 cm

Text Solution

Verified by Experts

The correct Answer is:
D

`10^(-4)=10^(-4)xxV`
`rArrV=1` m/s
pgh `=1/2pV^(2)`
`V=sqrt(2gh)rArrh=(V^(2))/(2g)=1/(2xx9.8)=5.1` cm
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