Which is the dimensional formula for conductance from the given below ?

Options

A. `M^(1) L^(2) T^(-3) A^(-2)`
B. `M^(-1) L^(-2) T^(3) A^(2)`
C. `M^(1) L^(3) T^(-3) A^(-2)`
D. `M^(-1) L^(-3) T^(3) A^(2)`

Answer

B

Explanation

`M^(-1) L^(-2) T^(3) A^(2)`
Conductance = `(1)/(R)`
`= (1)/(V) = (QI)/(J) = (I^(2) t)/(J)`
`therefore |G| = ([J^(2) ] [t])/([J]) = (A^(2) T^(1))/(M^(1) L^(2) T^(-2))`
` = M^(-1) L^(-2) T^(3) A^(2)`