The physical quantity having the dimensions [M-1 L-3 T3 A 2] is

Question

The physical quantity having the dimensions [M-1 L-3 T3 A 2] is (A) resistance (B) resistivity (C) electrical conductivity (D) electromotive force

Tardigrade Admin · Accepted Answer

Resistivity, ρ=(m/n e2 τ) ∵ [ρ]=([ M ]/[ L -3[ AT ]2[ T ].)=[ ML 3 A -2 T -3] So, Ã©lectrical conductivity. σ =(1/ρ) [σ] =(1/[ρ])=[ M -1 L -3 A 2 T 3]

Q. The physical quantity having the dimensions $[M^{- 1} L^{- 3} T^{3} A^{2}]$ is

resistance

resistivity

electrical conductivity

electromotive force

Resistivity, $ρ = \frac{m}{n e ^{2} τ}$
$∵ [ρ] = \frac{[ M ]}{[ L ^{- 3} [ A T ] ^{2} [ T ]} = [M L^{3} A^{- 2} T^{- 3}]$
So, électrical conductivity.
$σ = \frac{1}{ρ}$
$[σ] = \frac{1}{[ ρ ]} = [M^{- 1} L^{- 3} A^{2} T^{3}]$

Q. The physical quantity having the dimensions [M−1L−3T3A2] is