In an amplitude modulation with modulation index $0.5$,the ratio of the amplitude of the carrier wave to that of the side band in the modulated wave is

The amplitude of the side bands of the modulated signal, if the carrier signal and message signal amplitudes are $25 \,V$ and $5 \,V$ respectively, is (in $\,V$)

Consider an optical communication system operating at $800 \, nm$. Suppose,only $1\%$ of the optical source frequency is the available channel bandwidth for optical communication. How many channels can be accommodated for transmitting audio signals requiring a bandwidth of $8 \, kHz$?

In amplitude modulation,the message signal $V_{m}(t) = 10 \sin(2 \pi \times 10^{5} t) \text{ V}$ and the carrier signal $V_{c}(t) = 20 \sin(2 \pi \times 10^{7} t) \text{ V}$. The modulated signal contains the message signal with lower sideband and upper sideband frequencies. Therefore,the bandwidth of the modulated signal is $\alpha \text{ kHz}$. The value of $\alpha$ is:

What is the amplitude of the $LSB$ (Lower Side Band) frequency in the $AM$ wave shown in the figure (in $V$)?

$A$ carrier wave of frequency $1000 \text{ kHz}$ is modulated by an audio signal of frequency $800 \text{ Hz}$. What are the frequencies of the first pair of sidebands?