The dimensions of specific resistance are:

[M L^{- 2} A^{- 1}]

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[M L^{3} T^{- 3} A^{- 2}]

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[M L^{3} T^{- 2} A^{- 1}]

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[M L^{2} T^{- 2} A^{- 2}]

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Solution

The correct option is B $[M L^{3} T^{- 3} A^{- 2}]$
Resistance of a substance= $R = ρ \frac{l}{A}$
$⟹ ρ = \frac{R A}{l}$
$= \frac{V}{I} \frac{A}{l}$
Dimension of $V$ is $[M L^{2} T^{- 3} A^{- 1}]$
Dimension of $I$ is $[A]$
Dimension of $A$ is $[L^{2}]$
Dimenstion of $l$ is $[L]$
Thus dimension of $ρ$ is $[M L^{3} T^{- 3} A^{- 2}]$

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Similar questions

	Column I (Physical quantity)		Column II (Dimensional formula)
(A)	Premittivity of free space	(p)	$[M^{0} L^{0} T^{- 1}]$
(B)	Radiant flux	(q)	$[M L^{3} T^{- 3} A^{- 2}]$
(C)	Resistivity	(r)	$[M L^{2} T^{- 3}]$
(D)	Hubble constant	(s)	$[M^{- 1} L^{- 3} T^{4} A^{2}]$

(3 a - \frac{1}{2}) (3 a - \frac{1}{2})

3 a^{2} - 1 - 2 a

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