Question

ML3T-1Q-2 Is dimension of

Answer 1

ML3T-1Q-2 Is dimension of Resistivity.

Explanation:

The formula of resistivity is given by

$= > ρ = \frac{AR}{l}$

Here, ρ is the resistivity of the wire

A is Area of cross section of wire

R is the resistance of the wire

l is the length of the wire

The dimension of Resistance is

$M{L}^{2} {T}^{ - 3} {A}^{ - 2}$

But the dimension of charge is AT.

So the the dimension of resistance in terms of charge is

$M{L}^{2} {T}^{ - 1} {Q}^{ - 2}$

The dimension of resistivity is given by

$= > ρ = \frac{{L}^{2} \times M {L}^{2} {T}^{ - 1} {Q}^{ - 2} }{L}$

$= > ρ = M {L}^{3} {T}^{ - 1} {Q}^{ - 2}$