A wind - powered generator converts wind energy into electrical energy . Assume that the generator convents a fixed fraction of the wind energy intercepted by to blades into electrical energy for wind speed `V` , the electrical power output will be propertional to

Options

A. v
B. `v^(2)`
C. `v^(3)`
D. `v^(4)`

Answer

c

Explanation

`F = rho Av^(2), rho` density of air, A area of cross section of blade, `P = intrhoAv^(2) dv = rhoAv^(2)//3`
`P prop v^(3)`