Question

Calculate the Nyquist rate for a signal with a maximum frequency component of 5 kHz.

• A. 5 kHz
• B. 10 kHz
• C. 2.5 kHz
• D. 20 kHz

Hint:

Nyquist Rate = 2 × Maximum frequency → Prevents aliasing.

Answer 1

The Correct Option is B

Concept: According to the Nyquist Sampling Theorem, the minimum sampling rate required to avoid aliasing must be at least twice the maximum frequency present in the signal.
Step 1: Nyquist rate formula.
\[ \text{Nyquist Rate} = 2 \times f_{\text{max}} \]
Step 2: Substitute given value.
\[ = 2 \times 5\,\text{kHz} = 10\,\text{kHz} \]
Step 3: Conclusion.
Thus, the Nyquist rate is 10 kHz.