GATE Electronics and Communications (EC) 2021 Solved Paper

A sinusoidal message signal having root mean square value of 4 V and frequency of 1 kHz is fed to a phase modulator with phase deviation constant 2 rad / volt. If the carrier signal is c(t) = 2cos(2π106t). the maximum instantaneous frequency of the phase modulated signal (rounded off to one decimal place) is _______ Hz.