Question

A quantity X is given by ${ϵ}_{0}L\frac{△V}{△t}$, where ${ϵ}_0$ is the permittivity of the free space, L is the length, $triangleV$ is a potential difference, and $△$ is the time interval. The dimensional formula for X is the same as that of

• A. Resistance
• B. Charge
• C. Voltage
• D. Current

Answer 1

The correct option is D Current

${ϵ}_0\to M^{-1}{L}^{-3}{T}^4{A}^{2}L\to L$

$△V\to M^1{L}^2{T}^{-3}I-1△t\to T$

$⟹X\to I$

$\therefore$ current.