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

Options

A. (a)`1// RC`
B. (b)`R//L`
C. (c)` 1//sqrt(LC )`
D. (d)`C//L`

Answer

A, B, C

Explanation

`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 .