GATE Electronics and Communications (EC) 2012 Solved Paper

The signal m (t) as shown in figure below is applied both to a phase modulator (with k_p as the phase constant) and a frequency modulator with (k_f as the frequency constant) having the same carrier frequency(given m(t) maximum amplitude is 2). The ratio k_p / k_f (in rad/Hz) for the same maximum phase deviation is