Find the dimensional formulae of resistance.

Options

A. `[LM^(2)T^(-2)A^(-2)]`
B. `[LM^(3)T^(-3)A^(-3)]`
C. `[LM^(2)T^(-2)A^(-2)]`
D. `[LM^(2)T^(-3)A^(-2)]`

Answer

D

Explanation

`[ML^(2)T^(-3)T^(-2)]`
Explanation: By ohm.s ratio of V and I is constant equal to resistance R. Hence,
`V=IR, R=(V)/(I)`
`[R]=([V])/([l])=([ML^(2)A^(-1)T^(-3)])/([A])=[ML^(2)A^(-2)T^(-3)]`