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Noise-canceling headphones are an application of destructive interference. Each side of the headphones uses a microphone to pick up noise, delays it slightly, then rebroadcasts the noise next to your ear where it can interfere with the incoming sound wave of the noise. Suppose you are sitting 1.8 m from an annoying, 200 Hz buzzing sound.

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The question for this problem would be the minimum headphone delay, in ms, that will cancel this noise.
The 200 Hz. period = (1/200) = 0.005 sec. It will need to be delayed by 1/2, so 0.005/2, that is = 0.0025 sec. So converting sec to ms, will give us the delay of:Delay = 2.5 ms.

The minimum headphone delay that will cancel the noise will be 2.5ms.

What is noise?

Noise simply means a form of pollution that's unpleasant and disruptive.

In this case, the minimum headphone delay that will cancel the noise will be calculated thus:

= 1/(200) × 1/2

= 0.0025 seconds

= 2.5m/s

In conclusion, the minimum headphone delay that will cancel the noise will be 2.5ms.

Learn more about noise on:

https://brainly.com/question/2278957

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