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V-I Characteristics for a P-N Junction Diode

A 10 ohm resi...

Question

A $10 o h m$ resistance, $5 m H$ coil and $10 μ F$ capacitor are joined in series. When a suitable frequency alternating current source is joined to this combination, the circuit resonates. If the resistance is halved, the resonance frequency

A

remains unchanged

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B

is quadrupled

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C

is halved

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D

is doubled

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Solution

The correct option is A remains unchanged
Change in resonance frequency:
Let the resonant frequency be $f_{r}$ .
We know that,
$f_{r} = \frac{1}{2 π \sqrt{L C}}$
Now $f_{r}$ does not depend upon resistance, so where resistance is halved, the resonance frequency remains unchanged.
Hence, option $(C)$ is correct.

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V-I Characteristics for a P-N Junction Diode

Standard XII Physics

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