Define modulation index.Why is its value kept,in practice less than one?

Define modulation index. Why is its value kept,in practice less than one? A carrier wave of frequency 1.5 MHz and amplitude 50 V is modulated by a sinusoidal wave of frequency 10 kHz producing 50% amplitude modulation. Calculate the amplitude of the AM wave and frequencies of side bands produced.

Amplitude modulation index is the ratio of the modulating signal to the maximum amplitude of carrier wave.

These are the required frequencies of the side bands produced.