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L, C and R represent the physical quanti...

L, C and R represent the physical quantities, inductance, capacitance and resistance respectively. The combination(s) which have the dimensions of frequency are

A

`(1)/(RC)`

B

`(R)/(L)`

C

`(1)/(sqrtLC)`

D

`(L)/(R)`

Text Solution

Verified by Experts

The correct Answer is:
D
`[(1)/(RC)]=(1)/([ML^(2)T^(-3)A^(-2)][M^(-1)L^(-2)T^(4)A^(2)])=[T^(-1)]`
`[(R)/(L)]=([ML^(2)T^(-3)A^(-2)])/([ML^(2)T^(-2)A^(-2)])=[T^(-1)]`
`[(1)/(sqrt(LC))]=(1)/(sqrt([ML^(2)T^(-2)A^(-2)][M^(-1)L^(-2)T^(4)A^(2)]))=[T^(-1)]`
`[(L)/(R)]=([ML^(2)T^(-2)A^(-2)])/([ML^(2)T^(-3)A^(-2)])=[T]`
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