L, C and R represent physical quantities inductance, capacitance … - Vidyadip

MCQ

$L, C$ and $R$ represent physical quantities inductance, capacitance and resistance. The combination which has the dimensions of frequency is

✓
$\frac{1}{{RC}}\,\,and\,\,\frac{R}{L}$
B
$\frac{1}{{\sqrt {RC} }}\,\,and\,\,\sqrt {\frac{R}{L}} \,$
C
$\sqrt {LC} $
D
$\frac{C}{L}\,$

✓

Answer

Correct option: A.

$\frac{1}{{RC}}\,\,and\,\,\frac{R}{L}$

a
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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