A particle of mass M starting from rest undergoes uniform acceleration. If the speed acquired in time T is V, the power delivered to the particle is -

Options

A. `MV^(2)/T`
B. `1/2 MV^(2)/T^(2)`
C. `MV^(2)/T^(2)`
D. `1/2 MV^(2)/T`

Answer

`(4)`

Explanation

Power delivered in time T is
`P = F.V = MaV`
or `P = MV (dV)/(dT) Rightarrow pdT = MVdV`
`Rightarrow PT = (Mv^(2))/2 or P= 1/2 (MV^(2))/T `