Frequency modulation (FM) is a form of modulation which represents information as variations in the instantaneous frequency of a carrier wave.
Note that frequency modulation can be regarded as a special case of phase modulation where the carrier phase modulation is the time integral of the FM modulating signal.
With a tone-modulated FM wave, if the modulation frequency is held constant and the modulationindex is increased, the (non-negligible) bandwidth of the FM signal increases, but the spacing between spectra stays the same.
Phase Modulation (PM) is a similar system where the phase of the carrier wave is varied in sympathy with the voltage of the modulating signal, and as in frequency modulation, the amplitude of a carrier is held constant.
The modulationindex due to the noise voltage is constant for different noise frequencies, differently to the modulationindex for the desired modulation signal which decreases with increasing modulating frequency (for FM).
The modulationindex is 2.4, and the deviation is 2.88kHz.