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Resistivity

A 10Ω resis...

Question

A $10 Ω$ 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

is halved

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B

is doubled

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C

remains unchanged

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D

is quadrupled

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Solution

The correct option is C remains unchanged
At resonance
$f = \frac{1}{2 π \sqrt{L C}}$
Hence no effect of R. The resonance frequency remains same when R is changed.

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