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The physical quantity having the dimensi...

The physical quantity having the dimensions `[M^(–1)L^(–3)T^(3)A^(2)]` is

A

Resistance

B

Resistivity

C

Electrical conductivity

D

Electromotive force

Text Solution

Verified by Experts

The correct Answer is:
C
(a) Resistance `(R) =V/I =W/(qI)`
`[R]=([ML^2T^(-2)])/([AT][A])=[ML^2T^(-3)A^(-2)]`
(b) Resistivity `(rho) rarr Omegam implies rho = Rl`
`[rho] = [ML^3 T^(-3) A^(-2)]`
(c) Electrical conductivity `(sigma) =1/rho`
`[sigma]=[M^(-1)L^(-3)T^3 A^2]`
(d) Electromotive force (emf) = Volt `=W/q`
[emf] `[ML^2T^(-3)A^(-1)]`
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