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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

`1// RC`

B

`R//L`

C

` 1//sqrt(LC )`

D

`C//L`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C

`RC` has the dimensions of time , so `1// RC` will have the dimensions of frequency , so `R//L` will have the dimensions of frequency .
Now ` (1)/( sqrt(LC)) = (1)/( sqrt((L)/( R ) RC)) = (1) / ( sqrt(( T xx T))) = (1)/(T)` is the dimension of frequency .
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  • L, C and R represent the physical quantities, inductance, capacitance and resistance respectively. The combination(s) which have the dimensions of frequency are

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