/*! 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

Light from a sodium lamp =589nmilluminates a narrow slit and is observed on a screen 75cmbehind the slit. The distance between the first and third dark fringes is 7.5mm. What is the width (in mm) of the slit?

Short Answer

Expert verified

The slit's width of is 0.12mm.

Step by step solution

01

Step: 1 Width of slit:

The light casts a shadow when the slit widths are bigger than the wavelength of the sunshine. Light diffraction occurs when the slit widths are small, and also the light waves overlap on the screen. As a result, the sunshine intensity rises because the slit width grows.

02

Step: 2 Equating part:

In one slit, the location of pth darkest fringes is

yp=pLa

Calculating the difference by

yp=pLa.

03

Step: 3 Slit's width value:

The width of slit by

a=pLypa=(31)5.891070.757.5103a=1.178104ma=0.12mm.

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

FIGURE Q33.5 shows the light intensity on a viewing screen behind a single slit of width a The light's wavelength is. Is<a,=a,>a, or is it not possible to tell? Explain

aFind an expression for the positions y1of the first-order fringes of a diffraction grating if the line spacing is large enough for the small-angle approximation tansinto be valid. Your expression should be in terms of d,Land.
b. Use your expression from part a to find an expression for the separationyon the screen of two fringes that differ in wavelength by.
cRather than a viewing screen, modern spectrometers use detectors-similar to the one in your digital camera-that are divided into pixels. Consider a spectrometer with a 333lines/mmgrating and a detector with 100pixels/mmlocated 12cmbehind the grating. The resolution of a spectrometer is the smallest wavelength separation minthat can be measured reliably. What is the resolution of this spectrometer for wavelengths near localid="1649156925210" 550nm, in the center of the visible spectrum? You can assume that the fringe due to one specific wavelength is narrow enough to illuminate only one column of pixels.

A triple-slit experiment consists of three narrow slits, equally spaced by distance dand illuminated by light of wavelength . Each slit alone produces intensity I1on the viewing screen at distanceL.
aConsider a point on the distant viewing screen such that the path-length difference between any two adjacent slits is. What is the intensity at this point?
bWhat is the intensity at a point where the path-length difference between any two adjacent slits is2?

Light from a helium-neon laser (=633nm)illuminates a circular aperture. It is noted that the diameter of the central maximum on a screen 50cmbehind the aperture matches the diameter of the geometric image. What is the aperture's diameter (in mm)?

Because sound is a wave, it's possible to make a diffraction grating for sound from a large board of sound-absorbing material with several parallel slits cut for sound to go through. When 10kHzsound waves pass through such a grating, listeners 10mfrom the grating report "loud spots" 1.4mon both sides of center. What is the spacing between the slits? Use 340msfor the speed of sound.

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.