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What are the dimensions of electrical re...

What are the dimensions of electrical resistance?

A

`[ML^(2)T^(-3) A^(-1)]`

B

`[ML^(2)T^(-3)A^(-2)]`

C

`[ML^(3)T^(-3) A^(-2)]`

D

`[ML^(-1)L^(3)T^(3)A^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
B

Power `= i^(2)R rArr ("Work done")/("Time") = ("Force" xx"Distance")/("Time")`
`rArr [R] = [(MLT^(-2)L)/(T)] [ (1)/(A^(2))]`
`rArr [R] = [ML^(2)T^(-3)A^(-2)]`.
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