Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
bartleby

Concept explainers

Question
Book Icon
Chapter 6, Problem 45E
To determine

To Calculate:The phase and group velocities of a wave

Blurred answer
Students have asked these similar questions
The phase velocity v of gravity waves in a liquid of depth h is given by the formula v = tanh kh, k where g is the acceleration of free fall and k = 2w/2 is the wavenumber, a being the wavelength. Sketch the dispersion relation for such waves, and show that the group velocity is always between v2 and v. Find the phase and group velocities for gravity waves of frequency 1 Hz in a liquid of depth 0.1 m.
Both the pressure and the electric signal are measured simultaneously for various settings, and the results are tabulated. For the given set of measurements, obtain the calibration curve in the form of P = aI + b, where a and b are constants, and calculate the pressure that corresponds to a signal of 10 mA.
Find the phase velocity and group velocity for the following two wave-forms (x and t are measured in SI units) (i) 1(x,t) = cos(4t - 2x) + cos(8t- 4.r). (ii) 2(x,t) Does these waveforms satisfy the wave equation %3D = cos(8t- 6a) + cos (4t – 4.x). %3D v² Ət? where v is a constant independent of frequency. Explain.
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
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Text book image
An Introduction to Physical Science
Physics
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning