If a signal is sampled at Fs, the sampling interval is T = 1/Fs. Which statement is correct?

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Multiple Choice

If a signal is sampled at Fs, the sampling interval is T = 1/Fs. Which statement is correct?

Explanation:
The key idea here is the relationship between how often you sample and the time between samples. Fs is the number of samples per second, so the time between consecutive samples, the sampling interval, must be the reciprocal of that rate. That gives T = 1/Fs, with units in seconds. For example, if Fs is 2000 samples per second, T is 1/2000 s = 0.0005 s. The other options mix up the relationship (for instance, using Fs directly would imply seconds per sample rather than samples per second, and factors like 1/2 or π don’t come from the definition of sampling frequency).

The key idea here is the relationship between how often you sample and the time between samples. Fs is the number of samples per second, so the time between consecutive samples, the sampling interval, must be the reciprocal of that rate. That gives T = 1/Fs, with units in seconds. For example, if Fs is 2000 samples per second, T is 1/2000 s = 0.0005 s. The other options mix up the relationship (for instance, using Fs directly would imply seconds per sample rather than samples per second, and factors like 1/2 or π don’t come from the definition of sampling frequency).

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