In sampling theorem the Nyquist interval is given by

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URSC ISRO Technical Assistant Electronics 13 November 2016 Official Paper
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  1. \(T_s=\frac{1}{f_m}\)
  2. \(T_s=\frac{1}{2f_m}\)
  3. \(T_s=\frac{1}{\pi f_m}\)
  4. \(T_s=\frac{\pi}{f_m}\)

Answer (Detailed Solution Below)

Option 2 : \(T_s=\frac{1}{2f_m}\)
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Nyquist sampling theorem states that “a signal can be exactly reproduced if it is sampled at the rate fs which is greater than or equal to twice the maximum frequency fm of the modulating signal."​, i.e.

The minimum sampling frequency is:

fs = 2 fm

In terms of the time period:

\(\frac{1}{T_s}=2f_m\)

\(T_s=\frac{1}{2f_m}\)

Ts = Nyquist sampling interval

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