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What is the dimensional formula of sqrt(...

What is the dimensional formula of `sqrt(LC)` ?

A

`(s)^(2)`

B

volt-s/amp

C

amp-s/volt

D

s

Text Solution

Verified by Experts

The correct Answer is:
D
At resonance, `omegaL=1/(omegaC)`
`omega^(2) = 1/(LC)`
`rArr omega=1/sqrt(LC)`
`2pif=1/sqrt(LC)`
Thus, dimension of `sqrt(LC)` is second.
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