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Water is flowing in a river at 2 m s^(-1...

Water is flowing in a river at `2 m s^(-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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