What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)

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Question: What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)

Options:

Correct Answer: 2 kHz

Solution:

Nyquist rate = 2 * f_max = 2 * 1000 Hz = 2000 Hz = 2 kHz.

What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)

What is the Nyquist rate for a signal with a maximum frequency of 1 kHz? (2000)

Step 1: Identify the maximum frequency of the signal. In this case, it is given as 1 kHz.
Step 2: Convert the maximum frequency from kHz to Hz if necessary. 1 kHz is equal to 1000 Hz.
Step 3: Use the Nyquist rate formula, which is Nyquist rate = 2 * f_max.
Step 4: Substitute the maximum frequency into the formula: Nyquist rate = 2 * 1000 Hz.
Step 5: Calculate the result: 2 * 1000 Hz = 2000 Hz.
Step 6: Convert the result back to kHz if needed. 2000 Hz is equal to 2 kHz.

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