1.

The level of water in a tank is 5 m high. A hole of area 1 cm^(2) is made at the bottom of the tank. The rate of leakage of water from the hole is : (g = 10 m//s^(2))

Answer»

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

Solution :VELOCITY with which liquid comes out of the hole
`v=sqrt(2gh)`
`THEREFORE` Rate of flow of WATER from the hole
`="area"xx"velocity"=Axxsqrt(2gh)`
`=1xx10^(-4)sqrt(2xx10xx5)=10^(-3)m^(3)s^(-1)`
Thus the correct choice is (a).


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