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Water is flowing in a river at 2 ms^(-1)...

Water is flowing in a river at `2 ms^(-1)`. The river is `50 m` wide and has an average depth of `5 m`. The power available from the current in the river is (Density of water `= 1000 kg m^(3)`

A

`0.5 MW`

B

`1 MW`

C

`1.5 MW`

D

`2 MW`

Text Solution

Verified by Experts

The correct Answer is:
B
`P=(1/2mv^(2))/t=(1)/(2)(m/t)v^(2)=(1)/(2)(rhoAv)v^(2)`
`=(1)/(2)rhoAv^(3)=(1)/(2)xx10^(3)xx50xx5xx(2)^(3)=10^(6)W`
`=1MW`
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