/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 22 When a wave passes through two n... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 22

When a wave passes through two nearby gaps in a barrier, interference will occur, provided that there is also diffraction. Why must there be diffraction?

Short Answer

Expert verified
Answer: Diffraction is necessary for interference to occur because it allows the waves to bend and spread out after passing through the gaps, enabling them to overlap and interact with each other. Without diffraction, the waves would not be able to overlap, and no interference patterns would be observed.

Step by step solution

01

Understand the Concepts of Diffraction and Interference

Diffraction is the bending of waves around obstacles or the spreading of waves when passing through a small opening (gap). Interference, on the other hand, is the phenomenon where two or more waves superpose to create a new wave pattern. This can result in the waves either reinforcing each other (constructive interference) or canceling each other out (destructive interference).
02

Analyze the Importance of Diffraction in Interference

For interference to occur, the waves need to overlap and interact with each other. This means that the waves must have traveled from their source or have been affected in such a manner that they are now able to interact. Diffraction is the phenomenon that allows this to happen: as waves pass through the gaps, they bend and spread out, overlapping with the waves from the other gap.
03

Understand the Wave Interaction

When the waves from the two gaps diffract and overlap, they create an interference pattern. Depending on the path difference (the difference in distance traveled by the two waves) and the wavelength of the waves, the interference pattern will be a combination of constructive and destructive interference. If there were no diffraction (meaning the waves wouldn't bend and spread out), the waves from the two gaps would not overlap, and no interference could occur.
04

Conclusion

In conclusion, for interference to occur when a wave passes through two nearby gaps in a barrier, there must be diffraction. Diffraction is essential because it allows the waves to bend and spread out after passing through the gaps, enabling them to overlap and interact with each other. Without diffraction, the waves would not be able to overlap, and no interference patterns would be observed.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

\- A low-frequency sound is heard and then a high-frequency sound is heard. Which sound has a longer wavelength?

In the past, ships often carried small cannons that were used when approaching shore in dense fog to estimate the distance to the hidden land. Explain how this might have been done.

Normal telephones do not transmit pure tones with frequencies below about \(300 \mathrm{~Hz}\). But a person whose speaking voice has a frequency of \(100 \mathrm{~Hz}\) can be heard and understood over the phone. Why is that?

When trying to hear a faint sound from something far away, we sometimes cup a hand behind an ear. Explain why this can help.

A conditioning drill consists of repeatedly running from one end of a basketball court to the other, turning around and running back. Sometimes the drill is changed and the runner turns around at half court, or perhaps at three-fourths of the length of the court. Describe how the number of round- trips a runner can do each minute changes when the distance is changed and how this is related to a guitarist changing the note generated by a string by pressing a finger on it at some point.
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Energy Physics

Read Explanation

Translational Dynamics

Read Explanation

Electricity

Read Explanation

Mechanics and Materials

Read Explanation

Dynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.