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The dimensional formula of capacitance i...

The dimensional formula of capacitance is ____. Take Q as the dimension formula of charge.

A

`M^1L^(-2)T^(-2)Q^(-2)`

B

`M^(1)L^(2)T^(-2)Q^(-2)`

C

`M^1L^(-2)T^(2)Q^(2)`

D

`M^(-1)L^(-2)T^(2)Q^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

Capacitance `C=Q/V`
but `V=W/Q`
`C=(Q^2)/W`
`C=([Q^2])/([ML^2T^(-2)])=[M^(-1)L^(-2)T^2Q^2]`
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