A carrier signal C ( t )=25 sin (2.512 × 10^10 t ) is amplitude modulated by a message signal m ( t )=5 sin (1.57 × 10^8 t ) and transmitted through…

A carrier signal $\displaystyle \mathrm{C}(\mathrm{t})=25 \sin \left(2.512 \times 10^{10} \mathrm{t}\right)$ is amplitude modulated by a message signal $\displaystyle \mathrm{m}(\mathrm{t})=5 \sin \left(1.57 \times 10^8 \mathrm{t}\right)$ and transmitted through an antenna. What will be the bandwidth of the modulated signal ?