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

Question

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)

Tardigrade Admin · Accepted Answer

C R and (L/R) both are time constants. Their unit is second. ∴ (1/C R) and (R/L) have the SI unit (second ) -1. Further, resonance frequency ω=(1/√L C)

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

$\frac{1}{RC}$

$\frac{R}{L}$

$\frac{1}{L C}$

$\frac{C}{L}$

$CR$ and $\frac{L}{R}$ both are time constants. Their unit is second.
$∴ \frac{1}{CR}$ and $\frac{R}{L}$ have the SI unit (second ) $^{- 1}$ .
Further, resonance frequency $ω = \frac{1}{L C}$

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

RC1​

LR​

LC​1​

LC​