Which one of the following is NOT correct?

Options

A. Dimensional formula of thermal conductivity (K) is `M^(1)L^(1) T^(-3)K^(-1)`
B. Dimensional formula of potential (V) is `M^(1)L^(2) T^(3)A^(-1)`
C. Dimensional formula of permeability of free space `(mu_(0)) " is" M^(1)L^(1) T^(-2)A^(-2)`
D. Dimensional formula of RC is `M^(0)L^(0)T^(-1)`

Answer

B, D

Explanation

Thermal conductivity = `("Heat energy" xx "thickness")/("Area" xx "Temperature" xx "time")`
`[K] = ([ML^(2)T^(-2)] [L])/([L^(2)] [K] [T])`
Potential = `("Work")/("Charge")`
`[V] = (ML^(2)T^9-2)/([AT]) = [M^(1)L^(2)T^(-3)A^(-1)]`
RC is the time constant of RC circuit.
`[RC] = [M^(0)L^(0)T^(1)]`