A 2-m long string is stretched between two supports with a tension that produces a wave speed equal to 50.00 m/s. What are the wavelength and frequency of the first three modes that resonate on the string?
A 2-m long string is stretched between two supports with a tension that produces a wave speed equal to 50.00 m/s. What are the wavelength and frequency of the first three modes that resonate on the string?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Professor Sathya Swaroop
Problem Set 2 [Module 1]
1.
A 2-m long string is stretched between two supports with a tension that produces a wave speed equal to 50.00 m/s. What
are the wavelength and frequency of the first three modes that resonate on the string?
2.
Consider two wave functions y,(x, t) = (0.3 cm) sin(3.00m-1 x – 4.00s- t) and y2(x, t) = (0.3 cm) sin(3.00m- x +
%3D
4.00s-1 t). Write a wave function for the resulting standing wave.
3.
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a
standing wave. The linear mass density of the string is 0.075 kg/m and the tension in the string is 5.00 N. The time interval
between instances of total destructive interference is 0.13 s. What is the wavelength of the waves?
4.
The frequencies of two successive modes of standing waves on a string are 258.36 Hz and 301.42 Hz. What is the next
frequency above these two frequencies that would produce a standing wave?
5.
Sine waves are sent down a 1.5m long string fixed at both ends. The waves reflect back in the opposite direction. The
amplitude of the wave is 4.00 cm. The propagation velocity of the waves is 175 m/s. The sixth harmonics of the string is
produced. Write an equation for the resulting standing wave.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84ac4757-f234-4fad-80db-225abf3856ba%2Fb0ba1ced-7d98-4646-9b87-3c9c56683fea%2F32onxw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Professor Sathya Swaroop
Problem Set 2 [Module 1]
1.
A 2-m long string is stretched between two supports with a tension that produces a wave speed equal to 50.00 m/s. What
are the wavelength and frequency of the first three modes that resonate on the string?
2.
Consider two wave functions y,(x, t) = (0.3 cm) sin(3.00m-1 x – 4.00s- t) and y2(x, t) = (0.3 cm) sin(3.00m- x +
%3D
4.00s-1 t). Write a wave function for the resulting standing wave.
3.
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a
standing wave. The linear mass density of the string is 0.075 kg/m and the tension in the string is 5.00 N. The time interval
between instances of total destructive interference is 0.13 s. What is the wavelength of the waves?
4.
The frequencies of two successive modes of standing waves on a string are 258.36 Hz and 301.42 Hz. What is the next
frequency above these two frequencies that would produce a standing wave?
5.
Sine waves are sent down a 1.5m long string fixed at both ends. The waves reflect back in the opposite direction. The
amplitude of the wave is 4.00 cm. The propagation velocity of the waves is 175 m/s. The sixth harmonics of the string is
produced. Write an equation for the resulting standing wave.
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