Question

Multiple Correct Answers Type
L, C and R represent the physical quantities inductance, capacitance, and resistance, respectively. The combinations which have the dimension of frequency are

• A. $1/RC$
• B. $R/L$
• C. $1/\sqrt{LC}$
• D. $C/L$

Answer 1

Answer: (A), (B), (C)

The correct options are
A $1/RC$
B $R/L$
C $1/\sqrt{LC}$

$X_L=\omega L$ Unit of resistance

$\frac{R}{L}$ unit of $\omega =2\pi \upsilon$

So, $R/L$ same dimension as $f$

${\omega }_{resonance}=1/\sqrt{LC}$

$1/\sqrt{LC}$ same dimension as $f$

$X_C=1/\left(\omega C\right)$ Unit of resistance

$\frac{1}{RC}$ unit of $\omega =2\pi \upsilon$

So, $1/RC$ same dimension as $f$.