Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 37: 34P (page 1147)

A sodium light source moves in a horizontal circle at a constant speed of 0.100c while emitting light at the proper wavelength of λo=589nm. Wavelength λis measured for that light by a detector fixed at the center of the circle. What is the wavelength shift λ-λo?

Short Answer

Expert verified

The wavelength shift for sodium light source is 2.97 nm.

Step by step solution

01

Identification of given data

The proper wavelength of emitting light is λo=589nm

The speed of sodium light source is u=0.1c

The wavelength shift is the variation in the wavelength of light due to relative movement of source and observer in different frames. It is calculated by the wavelength shift formula.

02

Determination of wavelength shift for sodium light source

The wavelength shift for sodium light source is given as:

λ-λo=λo11-vc2-1

Substitute all the values in the above equation.

λ-λo=589nm11-0.1cc2-1λ-λo=2.97nm

Therefore, the wavelength shift for sodium light source is 2.97 nm.

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

Another approach to velocity transformations. In Fig. 37-31, reference frames B and C move past reference frame A in the common direction of their xaxes. Represent the xcomponents of the velocities of one frame relative to another with a two-letter subscript. For example, vABis the xcomponent of the velocity of A relative to B. Similarly, represent the corresponding speed parameters with two-letter subscripts. For example, βAB(=vAB/c)is the speed parameter corresponding to vAB.

(a) Show thatβAC=βAB+βBC1+βABβBC

Let MABrepresent the ratio(1−βAB)/(1+βAB) , and letMBC andMAC represent similar ratios.

(b) Show that the relation

MAC=MABMBC

is true by deriving the equation of part (a) from it.

Sam leaves Venus in a spaceship headed to Mars and passes Sally, who is on Earth, with a relative speed of 0.5c . (a) Each measures the Venus–Mars voyage time. Who measures a proper time: Sam, Sally, or neither? (b) On the way, Sam sends a pulse of light to Mars. Each measures the travel time of the pulse. Who measures a proper time: Sam, Sally, or neither?

Galaxy A is reported to be receding from us with a speed of 0.35c. Galaxy B, located in precisely the opposite direction, is also found to be receding from us at this same speed. What multiple of c gives the recessional speed an observer on Galaxy A would find for (a) our galaxy and (b) Galaxy B?

To circle Earth in low orbit, a satellite must have a speed of about 2.7 x 104 km/h. Suppose that two such satellites orbit Earth in opposite directions. (a) What is their relative speed as they pass, according to the classical Galilean velocity transformation equation? (b) What fractional error do you make in (a) by not using the (correct) relativistic transformation equation?

What is the speed parameter for the following speeds: (a) a typical rate of continental drift (1 in./y); (b) a typical drift speed for electrons in a current-carrying conductor (0.5 mm/s); (c) a highway speed limit of 55 mi/h; (d) the root-mean-square speed of a hydrogen molecule at room temperature; (e) a supersonic plane flying at Mach 2.5 (1200 km/h); (f) the escape speed of a projectile from the Earth’s surface; (g) the speed of Earth in its orbit around the Sun; (h) a typical recession of a distant quasar due to the cosmological expansion 3×104kms-1.
See all solutions

Recommended explanations on Physics Textbooks

Physics of Motion

Read Explanation

Solid State Physics

Read Explanation

Measurements

Read Explanation

Physical Quantities And Units

Read Explanation

Electricity

Read Explanation

Nuclear Physics

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