Consider a wave on a string with constant tension. If the frequency of the wave is doubled, by what multiplicative factor does (a) the speed and (b) the wavelength change?
Step 1 of 2
We have to find by what multiplicative factor does the speed of a wave on a string with constant tension changes when its frequency is doubled.
The speed of a wave on a string is given by the expression,
Tension in the string in N
mass per unit length kg/m
Now, since the speed of a wave on a string is independent of the frequency and tension and mass per unit length being constant. The speed will remain the same even if the frequency is doubled.
Therefore, the speed of a wave on a string remains unchanged or changes by a multiplicative factor of 1.
Textbook: Physics with MasteringPhysics
Author: James S. Walker
The full step-by-step solution to problem: 8P from chapter: 14 was answered by , our top Physics solution expert on 07/27/17, 10:59AM. The answer to “Consider a wave on a string with constant tension. If the frequency of the wave is doubled, by what multiplicative factor does (a) the speed and (b) the wavelength change?” is broken down into a number of easy to follow steps, and 30 words. Since the solution to 8P from 14 chapter was answered, more than 754 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics with MasteringPhysics, edition: 4. This full solution covers the following key subjects: wave, multiplicative, constant, doubled, factor. This expansive textbook survival guide covers 32 chapters, and 3833 solutions. Physics with MasteringPhysics was written by and is associated to the ISBN: 9780321541635.