1.

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

Answer»

f/2
f/4
8f
`f//2 sqrt(2)`

Solution :Frequency of LC OSCILLATION `= (1)/(2pi sqrt(LC))`
or,`(f_(1))/(f_(2))=((L_(2)C_(2))/(L_(1)C_(1)))^(1//2)=((2L XX 4C)/(L xx C))^(1//2)=(8)^(1//2)`
`therefore (f_(1))/(f_(2))=2sqrt(2) RARR f_(2)=(f_(1))/(2sqrt(2))` or, `f_(2)=(f)/(2sqrt(2)).(because f_(1)=f)`


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