Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

FIGURE Q33.1 shows light waves passing through two closely spaced, narrow slits. The graph shows the intensity of light on a screen behind the slits. Reproduce these graph axes, including the zero and the tick marks locating the double-slit fringes, then draw a graph to show how the light-intensity pattern will appear if the right slit is blocked, allowing light to go through only the left slit. Explain your reasoning.

Short Answer

Expert verified

We'd get a single-slit pattern. The intensity in this pattern peaks below the slit and decreases as we move away from the centre. The central peak is twice as wide as the other peaks.

Step by step solution

01

Theory of light wave

The wave theory of light proposed by Christian Huygens has withstood the test of time and is now regarded as the foundation of optics. Let us now go over the wave theory of light in depth in this article. The Evolution of Light Wave Theory Light has always piqued the interest of philosophers and scientists.

02

Step2:Find light intensity

The light intensity will be similar to that of diffraction from a single thin slit. This assumes that the slit is no wider than 1 mm.

For the intensity versus position graph, we'd get something like this:

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 Vaia!

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 radar for tracking aircraft broadcasts a 12GHzmicrowave beam from a 2.0โˆ’m-diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwaves diffract.

a. What is the diameter of the radar beam at a distance of 30km?

b. If the antenna emits 100kWof power, what is the average microwave intensity at 30km?

A laser beam with a wavelength of 480nm illuminates two 0.12-mm-wide slits separated by 0.30mm. The interference pattern is observed on a screen 2.3m behind the slits. What is the light intensity, as a fraction of the maximum intensity I0, at a point halfway between the center and the first minimum?

Light from a helium-neon laser (ฮป=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)?

To illustrate one of the ideas of holography in a simple way, consider a diffraction grating with slit spacing d. The small-angle approximation is usually not valid for diffraction gratings, because dis only slightly larger than ฮป, but assume that the ฮป/dratio of this grating is small enough to make the small-angle approximation valid.

a. Use the small-angle approximation to find an expression for the fringe spacing on a screen at distance Lbehind the grating.

b. Rather than a screen, suppose you place a piece of film at distance L behind the grating. The bright fringes will expose the film, but the dark spaces in between will leave the film unexposed. After being developed, the film will be a series of alternating light and dark stripes. What if you were to now โ€œplayโ€ the film by using it as a diffraction grating? In other words, what happens if you shine the same laser through the film and look at the filmโ€™s diffraction pattern on a screen at the same distance L? Demonstrate that the filmโ€™s diffraction pattern is a reproduction of the original diffraction grating

FIGUREP33.36shows the light intensity on a screen behind a double slit. The slit spacing is 0.20mmand the wavelength of the light is 620nm. What is the distance from the slits to the screen?

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.

Sign-up for free