GATE EC 1999 Set 1 Q1.19 — Analog Communications

The input to a channel is a bandpass signal. It is obtained by linearly modulating a sinusoidal carrier with a single-tone signal. The output of the channel due to this input is given by
$$y(t)=(1 / 100) \cos \left(100 t-10^{-6}\right) \cos \left(10^{6} t-1.56\right)$$
The group delay $\left(t_{g}\right)$ and the phase delay $\left(t_{p}\right)$ in seconds, of the channel are