The carrier frequency of a transmitter is provided by a tank circuit of a coil of inductance $49 \mu \mathrm { H }$ 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:\\
(1) $18 \mathrm { kHz } - 30 \mathrm { kHz }$\\
(2) $63 \mathrm { kHz } - 75 \mathrm { kHz }$\\
(3) $442 \mathrm { kHz } - 466 \mathrm { kHz }$\\
(4) $13482 \mathrm { kHz } - 13494 \mathrm { kHz }$