A carrier signal C(t) = 25 sin (2.512 × 1010 t) is amplitude modulated by a message signal m(t) = 5 sin (1.57 × 108 t) and transmitted through an antenna. What will be the bandwidth of the modulated signal ?
(1) 8 GHz
(2) 2.01 GHz
(3) 1987.5 MHz
(4) 50 MHz