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An AM signal is detected using an envelope detector. The carrier frequency and modulating signal frequency are $1 \; \mathrm{MHz}$ and $2 \; \mathrm{kHz}$ respectively. An appropriate value for the time constant of the envelope detector is

  1. $500 \; \mu \mathrm{sec}$
  2. $20 \; \mu \mathrm{sec}$
  3. $0.2 \; \mu \mathrm{sec}$
  4. $1 \; \mu \mathrm{sec}$

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