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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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Knowledge Check

  • 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//sqrt(LC)`
    D
    `C/L`

  • L, C and R represent the physical quantities inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are-

    A
    `1/(RC)`
    B
    `R/L`
    C
    `1/(LC)`
    D
    `C/L`

  • If L, C and R represent the physical quantities indutance, capacitance and resistance respectively, the conbinations which have the dimensions of frequency are :

    A
    `(1//RC)`
    B
    `(R//L)`
    C
    `(1//sqrt(LC))`
    D
    `(C//R)`