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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:
A
$[\mathrm{F}]=\left[\mathrm{C}^2 \mathrm{M}^{-2} \mathrm{~L}^2 \mathrm{~T}^2\right]$
B
$[\mathrm{F}]=\left[\mathrm{CM}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^2\right]$
C
$[\mathrm{F}]=\left[\mathrm{CM}^{-2} \mathrm{~L}^{-2} \mathrm{~T}^{-2}\right]$
D
$[\mathrm{F}]=\left[\mathrm{C}^2 \mathrm{M}^{-1} \mathrm{~L}^{-2} \mathrm{~T}^2\right]$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$C=\frac{q}{V}=\frac{q \cdot q}{V \cdot q}=\frac{q^2}{W D}=\frac{C^2}{M L L^2 T^{-2}}=C^2 M^{-1} L^{-2} T^2$
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