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Q.

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

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a

f/4

b

8f

c

f/22

d

f/2

answer is C.

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Detailed Solution

In a series LC circuit, frequency of LC oscillations is given byf=12πLC  or f∝1LCf1f2=L2C2L1C1Given,  L1=L, C1=C, L2=2L, C2=4C, f1=fff2=2L×4CLC=8⇒f2=f22
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