Correct option: (3) Total power carried by the sidebands increases
Explanation:
Amplitude of the central band is independent of the modulation index.
Fraction of total power carried by the central carrier wave = 2/2+m2
Fraction of total power carried by the sidebands = m2/2+m2
Therefore, as the modulation index increases, the useful power carried by the central band decreases, but the carried by the sidebands increases.