Units Measurements | JEE Main 2025 | Capacitance Dimension

JEE MAIN 2025

22-01-2025 SHIFT-2

Question

Which one of the following is the correct dimensional formula for the capacitance in F M, L, T and C stand for unit of mass, length, time and charge,

Select the correct option:

$[\mathrm{F}]=\left[\mathrm{C}^2 \mathrm{M}^{-2} \mathrm{~L}^2 \mathrm{~T}^2\right]$

$[\mathrm{F}]=\left[\mathrm{CM}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^2\right]$

$[\mathrm{F}]=\left[\mathrm{CM}^{-2} \mathrm{~L}^{-2} \mathrm{~T}^{-2}\right]$

$[\mathrm{F}]=\left[\mathrm{C}^2 \mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^2\right]$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$C=\frac{q}{V}=\frac{q \cdot q}{V \cdot q}=\frac{q^2}{W D}=\frac{C^2}{M L L^2 T^{-2}}=C^2 M^{-1} L^{-2} T^2$

Question Tags

JEE Main

Physics

Easy

Start Preparing for JEE with Competishun

Video Solution

BY competishun

Watch Solution

YouTube