In the relation `V = ( pi)/( 8) ( P r^(4))/( nl)` , where the letters have their usual meanings , the dimensions of `V` are

Options

A. `[M^(0)L^(3)T^(0)]`
B. `M^(0)L^(3)T^(-1)]`
C. `[M^(0)L^(-3)T]`
D. `[ML^(3)T^(0)]`

Answer

b

Explanation

`V=(pi pr^(4))/(8 etal)=([ML^(-1)T^(-2)][L]^(4))/([ML^(-1)T^(-1)][L])=[L^(3)T^(-1)]`