Consider the wave form V(t) = (1 + mcosω_mt)cosωt.
Show that, it the demodulated wave is to follow the envelope of V(t), it is required that at any time t₀

A. $$RC \leqslant \frac{{{\omega _n}\left( {m\sin {\omega _m}{t_0}} \right)}}{{\left( {1 + m\cos {\omega _m}{t_0}} \right)}}$$

B. $$\frac{1}{{RC}} \geqslant \frac{{{\omega _m}\left( {m\sin {\omega _m}{t_0}} \right)}}{{\left( {1 + m\cos {\omega _m}{t_0}} \right)}}$$

C. $$\frac{1}{{RC}} \leqslant \frac{1}{{\left( {m{\omega _m}} \right)}}$$

D. RC is very large

Answer: Option B