Physics
Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
bartleby

Videos

Question
Book Icon
Chapter 22, Problem 54P
To determine

Wavelength of reflected pulse measured by the first spaceship.

Expert Solution & Answer
Check Mark

Answer to Problem 54P

Wavelength of reflected pulse will be 849.9nm.

Explanation of Solution

Write the equation to find the frequency of pulse received by an observer in first spaceship.

    f01=fs11+vrel/c1vrel/c

Here, f01 is the frequency of pulse received by an observer in first spaceship, fs1 is the frequency of pulse produced in first spaceship, vrel is the speed of second spaceship relative to earth, and c is the speed of light in vacuum.

Write the equation to find the frequency of pulse received by observer in second spaceship.

    f02=fs21+vrel/c1vrel/c

Here, f02 is the frequency of pulse received by observer in second spaceship and fs2 is the frequency of pulse produced in second spaceship.

Write the relation between fs2 and f01.

  fs2=f01

Rewrite the equation for f02 by substituting the above relation.

  f02=f011+vrel/c1vrel/c

Rewrite the above equation by substituting the previous equation for f01.

  f02=(fs11+vrel/c1vrel/c)1+vrel/c1vrel/c=fs1(1+vrel/c1vrel/c)

Rewrite the above equation using binomial approximation.

  f02fs1(1+vrelc)(1+vrelc)fs1(1+(vrelc)2)fs1(1+2vrelc)                                                                           (I)

Write the relation between frequency and wavelength of pulse received by observer in second spaceship.

    f02=cλ02                                                                                               (II)

Here, λ02 is the wavelength of pulse received by observer in second spaceship.

Write the relation between frequency and wavelength of pulse produced in first spaceship.

    fs1=cλs1                                                                                              (III)

Here, λs1 is the wavelength of pulse produced in first spaceship.

Rewrite equation (I) by substituting equations (II) and (III).

  cλ02cλs1(1+2vrelc)λ02=λs1(1+2vrelc)1

Conclusion:

Substitute 850.00nm for λs1, 24.6km for vrel, and 3.0×108m/s for c in the above equation to find λ02.

    λ02=(850.00nm(109m1nm))(1+2(24.6km(103m1km))3.0×108m/s)1=(850.00×109m)(0.99)=849.9×109m(1nm109m)=849.9nm

Therefore, the wavelength of reflected pulse will be 849.9nm.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Part A: kg (a) Water at 20 °C (p = 998.3 and v = 1 × 10-6 m²/s) flows through a galvanised m³ iron pipe (k = 0.15 mm) with a diameter of 25 mm, entering the room at point A and discharging at point C from the fully opened gate valve B at a volumetric flow rate of 0.003 m³/s. Determine the required pressure at A, considering all the losses that occur in the system described in Figure Q1. Loss coefficients for pipe fittings have been provided in Table 1. [25 marks] (b) Due to corrosion within the pipe, the average flow velocity at C is observed to be V2 m/s after 10 years of operation whilst the pressure at A remains the same as determined in (a). Determine the average annual rate of growth of k within the pipe. [15 marks] 4₁ Figure Q1. Pipe system Page 2 25 mm
For an independent study project, you design an experiment to measure the speed of light. You propose to bounce laser light off a mirror that is 53.5 km due east and have it detected by a light sensor that is 119 m due south of the laser. The first problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor. (a) Determine the angle that the normal to the mirror should make with respect to due west.(b) Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.003°. Determine how far south you need to move the light sensor in order to detect the reflected laser light.
A mirror hangs 1.67 m above the floor on a vertical wall. A ray of sunlight, reflected off the mirror, forms a spot on the floor 1.41 m from the wall. Later in the day, the spot has moved to a point 2.50 m from the wall. (a) What is the change in the angle of elevation of the Sun, between the two observations?

Chapter 22 Solutions

Physics

Ch. 22.7 - Prob. 22.7PPCh. 22.7 - Prob. 22.8PPCh. 22.8 - Prob. 22.9PPCh. 22 - Prob. 1CQCh. 22 - Prob. 2CQCh. 22 - Prob. 3CQCh. 22 - Prob. 4CQCh. 22 - Prob. 5CQCh. 22 - Prob. 6CQCh. 22 - Prob. 7CQCh. 22 - Prob. 8CQCh. 22 - Prob. 9CQCh. 22 - Prob. 10CQCh. 22 - Prob. 11CQCh. 22 - Prob. 12CQCh. 22 - Prob. 13CQCh. 22 - Prob. 14CQCh. 22 - Prob. 15CQCh. 22 - Prob. 1MCQCh. 22 - Prob. 2MCQCh. 22 - Prob. 3MCQCh. 22 - Prob. 4MCQCh. 22 - 5. If the wavelength of an electromagnetic wave is...Ch. 22 - Prob. 6MCQCh. 22 - 7. A dipole radio transmitter has its rod-shaped...Ch. 22 - Prob. 8MCQCh. 22 - Prob. 9MCQCh. 22 - Prob. 10MCQCh. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - 6. What is the wavelength of the radio waves...Ch. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Prob. 9PCh. 22 - Prob. 10PCh. 22 - Prob. 12PCh. 22 - 12. In order to study the structure of a...Ch. 22 - Prob. 13PCh. 22 - 14. When the NASA Rover Spirit successfully landed...Ch. 22 - Prob. 15PCh. 22 - 16. You and a friend are sitting in the outfield...Ch. 22 - Prob. 14PCh. 22 - Prob. 18PCh. 22 - Prob. 17PCh. 22 - Prob. 20PCh. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - Prob. 23PCh. 22 - Prob. 24PCh. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - Prob. 29PCh. 22 - 30. The intensity of the sunlight that reaches...Ch. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Prob. 33PCh. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - 36. The intensity of the sunlight that reaches...Ch. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - Prob. 39PCh. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - Prob. 43PCh. 22 - Prob. 44PCh. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - Prob. 48PCh. 22 - Prob. 49PCh. 22 - Prob. 50PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - Prob. 53PCh. 22 - Prob. 54PCh. 22 - Prob. 55PCh. 22 - Prob. 56PCh. 22 - Prob. 57PCh. 22 - Prob. 58PCh. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 62PCh. 22 - Prob. 61PCh. 22 - Prob. 63PCh. 22 - Prob. 64PCh. 22 - Prob. 65PCh. 22 - Prob. 66PCh. 22 - Prob. 67PCh. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Prob. 71PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 80PCh. 22 - Prob. 82PCh. 22 - Prob. 79PCh. 22 - Prob. 81PCh. 22 - Prob. 84PCh. 22 - Prob. 83PCh. 22 - Prob. 86PCh. 22 - Prob. 85P
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.
Similar questions
SEE MORE QUESTIONS
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
What Are Electromagnetic Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=ftyxZBxBexI;License: Standard YouTube License, CC-BY