Dimension of resistance in an elecatrical circuit, in terms of dimension of mass `M`, of length `L`, of time `T`, and of current `I`, would be

Options

A. `ML^(2)T^(-2)`
B. `ML^(2)T^(-1)I^(-1)`
C. `ML^(2)T^(-3)I^(-2)`
D. `ML^(2)T^(-3)I^(-1)`

Answer

C

Explanation

`R=(V)/(I)=(W)/(qI)=(W)/(I^2 t)=([ML^(2)T^(-2)])/([A^(2)T])`
`=[ML^(2)T^(-3)A^(-2)]" or "[ML^(2)T^(-3)I^(-2)]`