The dimension of resistance is _____.

Correct option is B

Correct Answer: (b) M¹L²T⁻³A⁻²
Explanation:
· The dimension of electrical resistance (R) is derived from Ohm’s law:
​$$R = \frac{V}{I}$$​​
· The dimensional formula of potential difference (V) is:
[V]=ML²T⁻³A⁻¹
· Current (I) has dimension:
[I]=A
· Therefore,
​$$[R] = \frac{M L^{2} T^{-3} A^{-1}}{A} = M L^{2} T^{-3} A^{-2}$$​​
Information Booster:
· SI unit of resistance = ohm (Ω).
· Resistance depends on material, length, area, and temperature.
· Resistivity formula:
​$$R = \rho \frac{L}{A}$$​​