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Dimensions of resistance in an electrica...

Dimensions of resistance in an electrical circuit, in terms of dimension of mass `M`, of length `L`, of time `T`and of current `A`, would be

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)]`

Text Solution

Verified by Experts

The correct Answer is:
C
According to Ohm.s law `V=RI` or `R=V/I`
Dimensions of `V=W/q=([ML^(2)T^(-2)])/([IT])`
`:.R=([ML^(2)T^(-2)//IT])/([I])=[ML^(2)T^(-3)I^(-2)]`
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