$A$ message signal of frequency $100\, MHz$ and peak voltage $100\, V$ is used to execute amplitude modulation on a carrier wave of frequency $300\, GHz$ and peak voltage $400\, V$. The modulation index and difference between the two sideband frequencies are:

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 $\,V$)

$A$ 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?

An amplitude modulated wave is modulated to $50\%$. If the carrier and one of the sidebands are suppressed,the percentage reduction in power is ....$\%$

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:

$A$ transmitter supplies $9 \,kW$ to the aerial when unmodulated. The power radiated when modulated to $40\%$ is........$kW$