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Option 1 : 5 kHz
The maximum frequency of the band-limited signal.
fm = 5 kHz
According to the Nyquist sampling theorem, the sampling frequency must be greater than the Nyquist frequency which is given as
fN = 2 fm = 2 × 5 = 10 kHz
So the sampling frequency fs ≥ fN
fs ≥ 10 kHz
Only the option (A) does not satisfy the condition.
∴ 5 kHz is not a valid sampling frequency.
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