Answer :
Final answer:
To prevent aliasing, a 220 Hz sine wave requires a minimum sampling frequency of 440 Hz according to the Nyquist Theorem. Answer c) 440 Hz is correct.
Explanation:
The minimum sampling frequency for a pure sine wave input at 220 Hz to prevent aliasing is determined by the Nyquist Theorem. This theorem states that the sampling frequency must be at least twice the highest frequency present in the signal to accurately reconstruct the original signal without aliasing. Therefore, for a 220 Hz sine wave, the minimum sampling frequency should be:
- 220 Hz × 2 = 440 Hz
Hence, the correct answer to the question is c) 440 Hz.