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Question: If \(V\) denotes the potential difference across the plates of a capacitor of capacitance \(C\), the...

If VV denotes the potential difference across the plates of a capacitor of capacitance CC, the dimensions of CV2CV^{2}are

A

Not expressible in MLTMLT

B

MLT−2MLT^{- 2}

C

M2LT−1M^{2}LT^{- 1}

D

ML2T−2ML^{2}T^{- 2}

Answer

ML2T−2ML^{2}T^{- 2}

Explanation

Solution

12CV2=\frac{1}{2}CV^{2} = Stored energy in a capacitor

= [ML2T−2]\lbrack ML^{2}T^{- 2}\rbrack