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The water level on a tank is 5m high. Th...

The water level on a tank is 5m high. There is a hole of `1 cm^(2)` cross-section at the bottom of the tank. Find the initial rate with which water will leak through the hole. (`g= 10ms^(-2)`)

A

`10^(-3)m^3//s`

B

`10^(-2)m^3//s`

C

`10^(-4)m^3//s`

D

`10^(3)m^3//s`

Text Solution

Verified by Experts

The correct Answer is:
B
The velocity of water at a depth of h below the free surface is given by
`v=sqrt(2gh)=sqrt(2xx10xx5)=10m//s`
`:.` The volume of water flowing out per second from the hole is
V=velocity x area=`10xx1xx10^(-4)=10^(-3)m^3//s`
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