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Question

A transistor-oscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in series produces oscillations of frequency f. If L is doubled and C is changed to 4C, the frequency will be

A
f2
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B
f4
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C
8f
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D
f22
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Solution

The correct option is D f22
Frequency of LC oscillation= 12πLC
or f1f2=(L2C2L1C1]1/2=(2L×4CL×C]1/2=(8)1/2

f1f2=22 f2=f122or f2=f22 (f1=f)

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