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^(-1)`
D. `M^(1)L^(3)T^(0)`

Answer

B

Explanation

`V = (pi)/(8) (P r^(4))/( nl) = (ML^(-1) T^(-2) L^(4))/( ML^(-1)T^(-1)L) = M^(0) L^(3) T^(-1)`