Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q56E (page 541)

How fast (as a percentage of light speed) would a star have to be moving so that the frequency of the light we receive from it is 10.0% higher than the frequency of the light it is emitting? Would it be moving away from us or toward us? (Assume it is moving either directly away from us or directly toward us.)

Short Answer

Expert verified

(v=0.095c) the star must be moving toward us because the frequency received from it is greater than the frequency emitted by it.

Step by step solution

01

Step 1:

If the frequency of the star's light is fs, then the frequency of the light received from that star will be 1.1fs. The relationship that describes the frequency of the received light is:

fr=fSc+vc-v

Replacing frwith 1.1fs;

1.1fs=fsc+Vc-v1.1fs=c+Vc-v

02

Step 2:

On putting the value;

1.12=c+Vc-vc+V=1.12c-1.12vv+1.12v=1.12c-cv=1.12-11.12+1c

So, the value is

v=1.12-11.12+1cv=0.0095c

Hence, the star must be moving toward us because the frequency received from it is greater than the frequency emitted by it.

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.

Start your free trial

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

Two strings of different mass per unit length μ1and μ2are tied together and stretched with a tension F. A wave travels along the string and passes the discontinuity in μ. Which of the following wave properties will be the same on both sides of the discontinuity, and which will change: speed of the wave; frequency; wavelength? Explain the physical reasoning behind each answer.

The frequency of the note F4 is 349 Hz. (a) If an organ pipe is open at one end and closed at the other, what length must it have for its fundamental mode to produce this note at 20.0°C? (b) At what air temperature will the frequency be 370 Hz, corresponding to a rise in pitch from F to F-sharp? (Ignore the change in length of the pipe due to the temperature change.)

A light wire is tightly stretched with tension F. Transverse traveling waves of amplitude A and wavelength A₁carry average power Pavg = 0.400 W. If the wavelength of the waves is doubled, so A₂= 2A₁, while the tension F and amplitude A are not altered, what then is the average power Pav,2 carried by the waves?

A person is playing a small flute 10.75cm long, open at one end and closed at the other, near a taut string having a fundamental frequency of 600.0 Hz. If the speed of sound is 344.0 m/s , for which harmonics of the flute will the string resonate? In each case, which harmonic of the string is in resonance?

A jet plane flies overhead at Mach 1.70 and at a constant altitude of 1250 m. (a) What is the angle σof the shock-wave cone? (b) How much time after the plane passes directly overhead do you hear the sonic boom? Neglect the variation of the speed of sound with altitude.
See all solutions

Recommended explanations on Physics Textbooks

Fluids

Read Explanation

Thermodynamics

Read Explanation

Magnetism

Read Explanation

Mechanics and Materials

Read Explanation

Radiation

Read Explanation

Electricity and Magnetism

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.

Sign-up for free