/*! 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}

91影视

Log out

Learning Materials

Features

Discover

Chapter 36: Q8P (page 1109)

Sound waves with frequency 3000Hzand speed 343m/sdiffract through the rectangular opening of a speaker cabinet and into a large auditorium of length d=100m. The opening, which has a horizontal width of 30.0cm, faces a wall 100maway (Fig.36-36). Along that wall, how far from the central axis will a listener be at the first diffraction minimum and thus have difficulty hearing the sound? (Neglect reflections.)

Short Answer

Expert verified

The distance between first order minima and central minima is41.2m.

Step by step solution

01

Identification of given data

The frequency of the sound wave is f=3000Hz

The speed of the sound wave is v=343m/s

The length of auditorium is D=100m.

The width of opening is d=30cm.

The order of first minima is m=1.

02

Concept used

The diffraction is the phenomenon in which the light bends on the edges of the slit and pattern of light is formed on a screen

03

Determination of wavelength of sound wave

The wavelength of sound wave is given as:

v=f路位

Substitute all the values in equation.

343m/s=3000Hz位位=0.1143m

04

Determination of distance of first diffraction minima from central diffraction minima

The distance between first order minima and central minima is given as:

w=Dd位2-1

Substitute all the values in equation.

w=100m30cm1m100cm0.1143m2-1w=41.2m

Therefore, the distance between first order minima and central minima is 41.2m.

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

For the situation in Questions 9 and Fig. 1, if instead we increased the grating spacing, would (a) the half-widths of the lines and (b) the separation of the lines increase, decrease, or remain the same? (c) Would the lines shift to the right, shift to the left, or remain in place?

A beam of light with a narrow wavelength range centered on 450 nm is incident perpendicularly on a diffraction grating with a width of 1.80 cm and a line density of 1400 lines/cm across that width. For this light, what is the smallest wavelength difference this grating can resolve in the third order?

Millimetre-wave radar generates a narrower beam than conventional microwave radar, making it less vulnerable to antiradar missiles than conventional radar. (a) Calculate the angular width 2胃of the central maximum, from first minimum to first minimum, produced by a 220 GHz radar beam emitted by a 55.0-cm diameter circular antenna. (The frequency is chosen to coincide with a low-absorption atmospheric 鈥渨indow.鈥�) (b) What is 2胃 for a more conventional circular antenna that has a diameter of 2.3 m and emits at wavelength 1.6 cm?

A diffraction grating has 200 rulings/mm, and it produces an intensity maximum at 胃=30掳.

(a) What are the possible wavelengths of the incident visible light?

(b) To what colors do they correspond?

An acoustic double-slit system (of slit separation dand slit width ) is driven by two loudspeakers as shown in Fig. 36-51. By use of a variable delay line, the phase of one of the speakers may be varied relative to the other speaker. Describe in detail what changes occur in the double-slit diffraction pattern at large distances as the phase difference between the speakers is varied from zero to 2蟺. Take both interference and diffraction effects into account.
See all solutions

Recommended explanations on Physics Textbooks

Fields in Physics

Read Explanation

Mechanics and Materials

Read Explanation

Linear Momentum

Read Explanation

Rotational Dynamics

Read Explanation

Astrophysics

Read Explanation

Force

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.