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(C) The resonant frequency of the tank circuit is given by $f_c = \frac{1}{2\pi\sqrt{LC}}$.Given: $L = 49 	imes 10^{-6}\,H$ and $C = 2.5 	imes 10^{-

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$442\,kHz - 466\,kHz$

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(C) The resonant frequency of the tank circuit is given by $f_c = \frac{1}{2\pi\sqrt{LC}}$.Given: $L = 49 	imes 10^{-6}\,H$ and $C = 2.5 	imes 10^{-9}\,F$.$f_c = \frac{1}{2\pi\sqrt{49 	imes 10^{-6} 	imes 2.5 	imes 10^{-9}}} = \frac{1}{2\pi\sqrt{122.5 	imes 10^{-15}}} = \frac{1}{2\pi\sqrt{1.225 	imes 10^{-13}}} \approx \frac{1}{2\pi 	imes 3.5 	imes 10^{-7}} = \frac{10^7}{7\pi} \approx 454.7\,kHz$.For an audio signal frequency $f_m = 12\,kHz$,the sideband frequencies are $f_c - f_m$ and $f_c + f_m$.Lower sideband $= 454.7 - 12 = 442.7\,kHz$.Upper sideband $= 454.7 + 12 = 466.7\,kHz$.The range is approximately $442\,kHz - 466\,kHz$.

$List-I$	$List-II$
$A.$ Facsimile	$I.$ Static Document Image
$B.$ Guided media Channel	$II.$ Local Broadcast Radio
$C.$ Frequency Modulation	$III.$ Rectangular wave
$D.$ Digital Signal	$IV.$ Optical Fiber

The carrier frequency of a transmitter is provided by a tank circuit of a coil of inductance $49\,\mu H$ and a capacitance of $2.5\,nF$. It is modulated by an audio signal of $12\,kHz$. The frequency range occupied by the side bands is

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