/*! 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} Q63P .. DATA While researching the us... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q63P (page 1215)

.. DATA While researching the use of laser pointers, you conduct a diffraction experiment with two thin parallel slits.

Your result is the pattern of closely spaced bright and dark fringes shown in Fig. P36.63. (Only the central portion of the pattern is shown.) You measure that the bright spots are equally spaced at centre to centre (except for the missing spots) on a screen that is from the slits. The light source was a helium鈥搉eon laser producing a wavelength of . (a) How far apart are the two slits? (b) How wide is each one?

Short Answer

Expert verified

two slits are 1.03mm apart

the value of a is 0.147mm

Step by step solution

01

Determine the distance between two slits

IDENTIFY and SET UP:

The equally spaced bright and dark fringes correspond to the double鈥攕lit interference pattern- The missing bright spots

correspond to the dark fringes of the single鈥攕lit diffraction pattern (the missing spots occur at the same angles as for the

single-slit diffraction pattern)- In part (a) We use Eq- (35.6) with m = 1 (We assume the Mo spots in the middle of the pattern

correspond to the interference orders m = 0 and i) to solve for the separation d betWeen the Mo slits (our target variable).

In part (b) We notice the ?rst missing spot (the diffraction ?rst鈥攐rder dark fringe) occurs at the 7th-order bright fringe of the

double鈥攕plit interference; they both have the same angular position- So we can sayWith the Mo

angles 鈥�; determined by Eq- (362) (with m = 1) and Eq- (35-4) (with m = 7), respectively. This leads to a

single equation in a single unknOWn of the width (1 of either slit (the target variable).

EXECUTE:

(a) Solving Eq- (55-6) with m = 1 for (1 gives

Substituting the knOWn values of R, A, and y1. We find

02

Determine which one is wide

(b) Using Eq (362) with m = 1 and Eq- (35.4) with m = 7, We obtain

But we argued that the two angles ; are actually equal- Solving the two equations for a and substituting the

know value for d, we find

EVALUATE:

The spacing between the dark fringes of the diffraction pattern is greater than that of the

bright (or dark) fringes of the interference pattern because.

Therefore the value of a is 0.147mm

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 uniform film of TiO2 , 1036 nm thick and having index of refraction 2.62, is spread uniformly over the surface of crown glass of refractive index 1.52. Light of wavelength 520.0 nm falls at normal incidence onto the film from air. You want to increase the thickness of this film so that the reflected light cancels.

(a) What is the minimumthickness of TiO2 that you must addso the reflected light cancels as desired?

(b) After you make the adjustment in part (a), what is the path difference between the light reflected off the top of the film and the light that cancels it after traveling through the film? Express your answer in (i) nanometers and (ii) wavelengths of the light in the TiO2 film.

Explain why the focal length of a plane mirror is infinite, and explain what it means for the focal point to be at infinity.

A pencil that is 9cm long is held perpendicular to the surface of a plane mirror with the tip of the pencil lead 12cm from the mirror surface and the end of the eraser 21cm from the mirror surface. What is the length of the image of the pencil that is formed by the mirror? Which end of the image is closer to the mirror surface: the tip of the lead or the end of the eraser?

A beam of light goes from one material into another. On physical grounds, explain why the wavelength changes but the frequency and period do not.

The eyes of amphibians such as frogs have a much flatter cornea but a more strongly curved (almost spherical) lens than do the eyes of air-dwelling mammals. In mammalian eyes, the shape (and therefore the focal length) of the lens changes to enable the eye to focus at different distances. In amphibian eyes, the shape of the lens doesn鈥檛 change. Amphibians focus on objects at different distances by using specialized muscles to move the lens closer to or farther from the retina, like the focusing mechanism of a camera. In air, most frogs are near-sighted; correcting the distance vision of a typical frog in air would require contact lenses with a power of about -6.0 D .A frog can see an insect clearly at a distance of 10cm. At that point the effective distance from the lens to the retina is 8 mm. If the insect moves farther from the frog, by how much and in which direction does the lens of the frog鈥檚 eye have to move to keep the insect in focus? (a) 0.02 cm toward the retina; (b)0.02 cm, away from the retina; (c)0.06 cm, toward the retina; (d)0.06 cm, away from the retina.

See all solutions

Recommended explanations on Physics Textbooks

Space Physics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Translational Dynamics

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Fluids

Read Explanation

Torque and Rotational Motion

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.