$A$ message signal of frequency $50 / \pi \text{ kHz}$ and peak voltage of $5 \text{ V}$ is used to modulate a carrier of frequency $1 \text{ MHz}$ and peak voltage $20 \text{ V}$. The modulation index is

$A$ carrier wave with amplitude of $250\, \text{V}$ is amplitude modulated by a sinusoidal baseband signal of amplitude $150\, \text{V}$. The ratio of minimum amplitude to maximum amplitude for the amplitude modulated wave is $50:x$,then the value of $x$ is ....... .

$A$ carrier is simultaneously modulated by two sine waves with modulation indices of $0.4$ and $0.3$. The resultant modulation index will be

$A$ message signal is used to modulate a carrier frequency. If the peak voltages of the message signal and carrier signal are increased by $0.1 \%$ and $0.3 \%$ respectively,then the percentage change in the modulation index is

An amplitude modulated wave is modulated to $50\%$. What is the saving in power if the carrier as well as one of the sidebands are suppressed?

$A$ 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?