Consider a taut inextensible string. You shake the end of the string with some frequency, causing a wave to travel down the string. In the questions below, assume you only change one aspect of the system at a time. Part A) If you shake the end of the string twice as rapidly (double the frequency), what will happen to the speed of the wave? A) It will be half as fast. B) It will increase by a factor of √​2​​​ C) It will double D) It will increase by a factor of 4 E) It will remain unchanged.   Part B) If you double the tension in the string, what will happen to the speed of the wave?   A) It will be half as fast. B) It will increase by a factor of √​2​​​ C) It will double D) It will increase by a factor of 4 E) It will remain unchanged.   Part C) If you shake the end of the string twice as rapidly (double the frequency), what will happen to the wavelength of the propagating wave?  It will be half as long.     A) It will be half as fast. B) It will increase by a factor of √​2​​​ C) It will double D) It will increase by a factor of 4 E) It will remain unchanged.   Part D) If you double the tension in the string, without changing the rate at which you're shaking it, what will happen to the wavelength of the wave?   A) It will be half as fast. B) It will increase by a factor of √​2​​​ C) It will double D) It will increase by a factor of 4 E) It will remain unchanged.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Consider a taut inextensible string. You shake the end of the string with some frequency, causing a wave to travel down the string. In the questions below, assume you only change one aspect of the system at a time.

Part A) If you shake the end of the string twice as rapidly (double the frequency), what will happen to the speed of the wave?

A) It will be half as fast.
B) It will increase by a factor of √​2​​​
C) It will double
D) It will increase by a factor of 4
E) It will remain unchanged.
 
Part B) If you double the tension in the string, what will happen to the speed of the wave?
 
A) It will be half as fast.
B) It will increase by a factor of √​2​​​
C) It will double
D) It will increase by a factor of 4
E) It will remain unchanged.
 
Part C) If you shake the end of the string twice as rapidly (double the frequency), what will happen to the wavelength of the propagating wave? 
It will be half as long.
 
 
A) It will be half as fast.
B) It will increase by a factor of √​2​​​
C) It will double
D) It will increase by a factor of 4
E) It will remain unchanged.
 
Part D) If you double the tension in the string, without changing the rate at which you're shaking it, what will happen to the wavelength of the wave?
 
A) It will be half as fast.
B) It will increase by a factor of √​2​​​
C) It will double
D) It will increase by a factor of 4
E) It will remain unchanged.
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