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

The function of a detector is to demodulate the modulated carrier wave and the steps for this process are

The electromagnetic waves of frequency 6 GHz are used in

A message signal is super-imposed with a carrier signal. The resulting modulating signal $C_m(t)$ is given by $C_m(t)=A_1 \sin \left(\omega_1 t\right)+A_2 \sin \left(\omega_2 t\right)-A_2 \sin \left(\omega_3 t\right)$, where $\omega_2<\omega_1<\omega_3$. The modulation index and the angular frequency fo the message signal respectively, are