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

Options

A. `(f)/(2)`
B. `(f)/(4)`
C. `(f)/(3)`
D. `(f)/(2sqrt(2))`

Explanation

`f= (1)/( 2 pi sqrt(1.c))`
`f= (1)/( 2 pi sqrt(2Lxx 4 c)) = (1)/(2 pi sqrt(SCL)) = (1)/( 2sqrt(2)) ((1)/( 2pi sqrt(LC)))`
`f= (f)/( 2sqrt(2))`