Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 24, Problem 73GP
To determine

The linear distance between the first-orders fringes.

Expert Solution & Answer
Check Mark

Answer to Problem 73GP

The separation of the lines is 0.7m .

Explanation of Solution

Given data:

Number of lines, 1d=8600lines/cm

Wavelength, λ1=4.6×107m

Wavelength, λ2=6.8×107m

Screen’s length, L=2.5m

Formula used:

  dsinθ=mλ and y=Ltanθ

Where,

  L is the screen’s length.

  λ is wavelength.

  y is the distance from the white line on the screen.

  d is the width of slit.

  θ is an angle.

Calculation:

The angle for the first-order from, dsinθ=mλ ,

  {1d=8600lines/cm}(102m/cm)sinθ1=4.6×107m

  sinθ1=0.396

  θ1=23.3°

Similarly,

  {1d=8600lines/cm}(102m/cm)sinθ2=6.8×107m

  sinθ2=0.585

  θ2=35.8°

Now, the distance from the central white line on the screen: y=Ltanθ

  y1=Ltanθ1=(2.5m)tan23.3°=1.1m

  y2=Ltanθ2=(2.5m)tan35.8°=1.8m

Therefore, the separation of the lines: y2y1

  y2y1=(1.81.1)m=0.7m

Conclusion: The separation of the lines is 0.7m .

Chapter 24 Solutions

Physics: Principles with Applications

Ch. 24 - Prob. 11QCh. 24 - Prob. 12QCh. 24 - Prob. 13QCh. 24 - Prob. 14QCh. 24 - Prob. 15QCh. 24 - Prob. 16QCh. 24 - Prob. 17QCh. 24 - Prob. 18QCh. 24 - Prob. 19QCh. 24 - Prob. 20QCh. 24 - Prob. 21QCh. 24 - Prob. 22QCh. 24 - Prob. 23QCh. 24 - Prob. 24QCh. 24 - Prob. 25QCh. 24 - Prob. 26QCh. 24 - Prob. 27QCh. 24 - Prob. 28QCh. 24 - Prob. 29QCh. 24 - Prob. 30QCh. 24 - Prob. 31QCh. 24 - Prob. 32QCh. 24 - Prob. 1PCh. 24 - Prob. 2PCh. 24 - Prob. 3PCh. 24 - Prob. 4PCh. 24 - Prob. 5PCh. 24 - Prob. 6PCh. 24 - Prob. 7PCh. 24 - Prob. 8PCh. 24 - Prob. 9PCh. 24 - Prob. 10PCh. 24 - Prob. 11PCh. 24 - Prob. 12PCh. 24 - Prob. 13PCh. 24 - Prob. 14PCh. 24 - Prob. 15PCh. 24 - Prob. 16PCh. 24 - Prob. 17PCh. 24 - Prob. 18PCh. 24 - Prob. 19PCh. 24 - Prob. 20PCh. 24 - Prob. 21PCh. 24 - Prob. 22PCh. 24 - Prob. 23PCh. 24 - Prob. 24PCh. 24 - Prob. 25PCh. 24 - Prob. 26PCh. 24 - Prob. 27PCh. 24 - Prob. 28PCh. 24 - Prob. 29PCh. 24 - Prob. 30PCh. 24 - Prob. 31PCh. 24 - Prob. 32PCh. 24 - Prob. 33PCh. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - Prob. 36PCh. 24 - Prob. 37PCh. 24 - Prob. 38PCh. 24 - Prob. 39PCh. 24 - Prob. 40PCh. 24 - Prob. 41PCh. 24 - Prob. 42PCh. 24 - Prob. 43PCh. 24 - Prob. 44PCh. 24 - Prob. 45PCh. 24 - Prob. 46PCh. 24 - Prob. 47PCh. 24 - Prob. 48PCh. 24 - Prob. 49PCh. 24 - Prob. 50PCh. 24 - Prob. 51PCh. 24 - Prob. 52PCh. 24 - Prob. 53PCh. 24 - Prob. 54PCh. 24 - Prob. 55PCh. 24 - Prob. 56PCh. 24 - Prob. 57PCh. 24 - Prob. 58PCh. 24 - Prob. 59PCh. 24 - Prob. 60PCh. 24 - Prob. 61PCh. 24 - Prob. 62GPCh. 24 - Prob. 63GPCh. 24 - Prob. 64GPCh. 24 - Prob. 65GPCh. 24 - Prob. 66GPCh. 24 - Prob. 67GPCh. 24 - Prob. 68GPCh. 24 - Prob. 69GPCh. 24 - Prob. 70GPCh. 24 - Prob. 71GPCh. 24 - Prob. 72GPCh. 24 - Prob. 73GPCh. 24 - Prob. 74GPCh. 24 - Prob. 75GPCh. 24 - Prob. 76GPCh. 24 - Prob. 77GPCh. 24 - Prob. 78GPCh. 24 - Prob. 79GPCh. 24 - Prob. 80GPCh. 24 - Prob. 81GPCh. 24 - Prob. 82GPCh. 24 - Prob. 83GPCh. 24 - Prob. 84GPCh. 24 - Prob. 85GPCh. 24 - Prob. 86GPCh. 24 - Prob. 87GPCh. 24 - Prob. 88GP
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
Convex and Concave Lenses; Author: Manocha Academy;https://www.youtube.com/watch?v=CJ6aB5ULqa0;License: Standard YouTube License, CC-BY