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

L,C and R represent the physical quantities inductance, capacitance and resistance respectively. Which of the following combinations have dimensions of frequency?

A

`RL^(-1)`

B

`R^(-1)L^(-1)`

C

`L^(-1//2)C^(-1/2)`

D

RCL

Text Solution

Verified by Experts

The correct Answer is:
A, C

`fL=(1)/(dt) xx (V)/((di//dt))=(V)/(di)`
`[fL]=[R] implies (L)/(R) = t`
`RC=t`
Multiply: `LC=t^(2)`
`t=sqrt(LC) implies f= (1)/(t) = L^(-1//2)C^(-1//2)`.
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