L, , C and R denote inductance, capacitance and resistance respec… - Vidyadip

MCQ

$L,\, C$ and $R$ denote inductance, capacitance and resistance respectively. Pick out the combination which does not have the dimensions of frequency

A
$\frac{1}{{RC}}$
B
$\frac{R}{L}$
C
$\frac{1}{{\sqrt {LC} }}$
✓
$\frac{C}{L}$

✓

Answer

Correct option: D.

$\frac{C}{L}$

d
(d) For $RC$ circuits, time constant is,

$\tau=R C$ has unit of time,

so, $\frac{1}{R C}$ has a unit of frequency,

similary for $LC$ oscillations, $\tau=\sqrt{L C}$

for $RL$ circuit, $\tau=\frac{L}{R}$

so,

$\frac{1}{R C}, \frac{R}{L}$ and $\frac{1}{\sqrt{L C}}$ has units of frequency.

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