In Amplitude Modulation, the message signal \({V}_{m}\left(t\right)\)\(=10\sin \left(2\pi \times {10}^{5}t\right)\) volt…

In Amplitude Modulation, the message signal \({V}_{m}\left(t\right)\)\(=10\sin \left(2\pi \times {10}^{5}t\right)\) volts and carrier signal \({V}_{C}(t)=20\) \(\sin \left(2\pi \times {10}^{7}t\right)\) volts. The modulated signal now contains the message signal with lower side band and upper side band frequency, therefore the bandwidth of modulated signal is \(\alpha \mathrm{kHz}\). The value of \(\alpha\) is:

[JEE Main 2021, 25 Jul (Shift 1)]