An audio signal of 15000 Hz modulates a carrier generated by a tank circuit containing 1 nF capacitor and 10 \(\mu\)henry inductor. Calculate the frequency of first pair of side bands.

1607 kHz

\(\nu\)_SB = \(\nu\)_c +- \(\nu\)_m

\(\nu\)_c = \(\frac{1}{2\pi \sqrt {LC}}\)

\(\nu\)_m = 15000 Hz = 15 kHz

L = 10 \(\mu\)henry ; C = 1 nF

\(\nu\)_SB = [1592 +- 15 ] kHz = 1607 kHz or 1577 kHz