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Physics
The dimensional formula for the capacitance of a capacitor is
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Q. The dimensional formula for the capacitance of a capacitor is
NTA Abhyas
NTA Abhyas 2022
A
$\left[A^{2} M^{- 1} L^{- 2} T^{4}\right]$
B
$\left[AM^{- 1} L^{- 2} T^{4}\right]$
C
$\left[A^{2} M^{- 2} L^{- 2} T^{4}\right]$
D
$\left[A^{0} M^{0} L^{- 2} T^{4}\right]$
Solution:
$U=\frac{q^{2}}{2 C}$
$\therefore $ $C=\frac{q^{2}}{2 U}$
$\therefore $ $\left[C\right]=\frac{\left(AT\right)^{2}}{\left(ML\right)^{2} T^{- 2}}$
$=\left[A^{2} M^{- 1} L^{- 2} T^{4}\right]$