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A sound is sampled at 16,000 samples per second. According to the Nyquist theorem, what is the highest frequency that can be represented?

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At a glance

MCQ

Type

practice

Style

Topic

Representing images, sound and other data

Exam-style question

Try this first

A sound is sampled at 16,000 samples per second. According to the Nyquist theorem, what is the highest frequency that can be represented?.

  1. A.4,000 Hz
  2. B.8,000 Hz
  3. C.16,000 Hz
  4. D.32,000 Hz

Model answer

What a good answer should say

  • 8,000 Hz

Explanation

Why this works

The Nyquist theorem states that the sampling rate must be at least twice the highest frequency being represented. Therefore, the highest representable frequency is 16,000 ÷ 2 = 8,000 Hz.

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