Q. 24

Expert-verified
Found in: Page 484

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Noise-canceling headphones are an application of destructiveinterference. Each side of the headphones uses a microphone topick up noise, delays it slightly, then rebroadcasts the noise nextto your ear where it can interfere with the incoming sound waveof the noise. Suppose you are sitting 1.8 m from an annoying,110 Hz buzzing sound. What is the minimum headphone delay, inms, that will cancel this noise?

The minimum headphone delay that will cancel this noise will be

See the step by step solution

## Step 1: Given information

The frequency of the buzzing sound is,

The maximum destructive interference occurs in noise cancellation headphones.

## Step 2: Determination of delayed time

For the destructive interference to be happen, there must be a phase difference of between the waves that corresponds to a time period of .

Thus, the delayed time for which the noise will be cancelled, should be,