/*! 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} Q. 6 It shows the light intensity on ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

It shows the light intensity on a viewing screen behind a circular aperture. What happens to the width of the central maximum if the

a. The wavelength of the light is increased.

b. The diameter of the aperture is increased.

c. How will the screen appear if the aperture diameter is less than the light wavelength?

Short Answer

Expert verified

The central maximum breadth is

(a) The width gets larger.

b) The width reduces.

(c) Gray, almost continuously, with no minima.

Step by step solution

01

Light through an aperture

Waves spread out when they pass between apertures or around objects, which is known as diffraction. This occurs when the aperture or object has the same actual size as the incident wave's wavelength.

02

The light's wavelength and also the aperture's diameter

Hence, θ1=1.22λDwe know.

The width increases as the height is increased.

The width decreases as the diameter is increased.

03

Aperture diameter

For diffraction to take place, the aperture size must be of the same order as the wavelength of light, hence almost uniformly gray with no minima.

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 91Ó°ÊÓ!

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

Two narrow slits 80μ³¾apart are illuminated with light of wavelength localid="1649170764860" 620nm. What is the angle of thelocalid="1649170756737" m=3bright fringe in radianslocalid="1649170769758" ?In degreeslocalid="1649170772775" ?

For your science fair project you need to design a diffraction grating that will disperse the visible spectrum 400-700nmover30.0∘ in first order.
a How many lines per millimeter does your grating need?
bWhat is the first-order diffraction angle of light from a sodium lamp λ=589nm?

FIGURE shows the light intensity on a viewing screen behind a single slit of width a. The light’s wavelength is λ. Is λ<a,λ=a, λ>a, oris it not possible to tell? Explain.

A chemist identifies compounds by identifying bright lines in their spectra. She does so by heating the compounds until they glow, sending the light through a diffraction grating, and measuring the positions of first-order spectral lines on a detector 15.0cmbehind the grating. Unfortunately, she has lost the card that gives the specifications of the grating. Fortunately, she has a known compound that she can use to calibrate the grating. She heats the known compound, which emits light at a wavelength of 461nm, and observes a spectral line 9.95cmfrom the center of the diffraction pattern. What are the wavelengths emitted by compounds Aand Bthat have spectral lines detected at positions 8.55cmand 12.15cm, respectively?

In a double-slit interference experiment, which of the following actions (perhaps more than one) would cause the fringe spacing to increase? (a) Increasing the wavelength of the light. (b) Increasing the slit spacing. (c) Increasing the distance to the viewing screen. (d) Submerging the entire experiment in water.

See all solutions

Recommended explanations on Physics Textbooks

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.