The dimensional formula of capacitance is ____. Take Q as the dimension formula of charge.

Options

A. `M^1L^(-2)T^(-2)Q^(-2)`
B. `M^(1)L^(2)T^(-2)Q^(-2)`
C. `M^1L^(-2)T^(2)Q^(2)`
D. `M^(-1)L^(-2)T^(2)Q^(2)`

Answer

D

Explanation

Capacitance `C=Q/V`
but `V=W/Q`
`C=(Q^2)/W`
`C=([Q^2])/([ML^2T^(-2)])=[M^(-1)L^(-2)T^2Q^2]`