As shown above, the left end of a horizontal string is attached to an oscillator and the right end is attached to a wall. The string's midpoint is labeled C, and a dot has been painted on the left half of the string. The left half of the string is uniformly thick, with diameter Do while the right half of the string gradually increases in thickness from the midpoint Cto the wall. The string is made of a material with uniform density (mass per unit volume). (a) The oscillator shakes the left end of the string up and down, creating waves traveling to the right with speed vo A student observes that every wave crest approaching the midpoint C passes through Cbut gradually slows down on the right half of the string. i. On which half of the string, if either, do the waves have a longer wavelength? _Left half Right half _Same wavelength on both halves Briefly explain your reasoning. (b) In a different experiment, the oscillator shakes the left end of the string up and down at a rate of 50 cycles per second. The leading edge of the wave reaches the midpoint C, which is 0.75m from the left end of the string, 0.030 seconds after the oscillator starts shaking the string. Calculate the wavelength of the wave on the left half of the string. 0.0 0.1 0.2 0.3 0.4 Tima te) Velocity (m/s)
As shown above, the left end of a horizontal string is attached to an oscillator and the right end is attached to a wall. The string's midpoint is labeled C, and a dot has been painted on the left half of the string. The left half of the string is uniformly thick, with diameter Do while the right half of the string gradually increases in thickness from the midpoint Cto the wall. The string is made of a material with uniform density (mass per unit volume). (a) The oscillator shakes the left end of the string up and down, creating waves traveling to the right with speed vo A student observes that every wave crest approaching the midpoint C passes through Cbut gradually slows down on the right half of the string. i. On which half of the string, if either, do the waves have a longer wavelength? _Left half Right half _Same wavelength on both halves Briefly explain your reasoning. (b) In a different experiment, the oscillator shakes the left end of the string up and down at a rate of 50 cycles per second. The leading edge of the wave reaches the midpoint C, which is 0.75m from the left end of the string, 0.030 seconds after the oscillator starts shaking the string. Calculate the wavelength of the wave on the left half of the string. 0.0 0.1 0.2 0.3 0.4 Tima te) Velocity (m/s)
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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Transcribed Image Text:As shown above, the left end of a horizontal string is attached to an oscillator and the right end is attached to
a wall. The string's midpoint is labeled C, and a dot has been painted on the left half of the string. The left half
of the string is uniformly thick, with diameter Do while the right half of the string gradually increases in
thickness from the midpoint Cto the wall. The string is made of a material with uniform density (mass per unit
volume).
(a) The oscillator shakes the left end of the string up and down, creating waves traveling to the right with
speed vo A student observes that every wave crest approaching the midpoint C passes
through Cbut gradually slows down on the right half of the string.
i. On which half of the string, if either, do the waves have a longer wavelength?
Left half
Right half
Same wavelength on both halves
Briefly explain your reasoning.
(b) In a different experiment, the oscillator shakes the left end of the string up and down at a rate of 50
cycles per second. The leading edge of the wave reaches the midpoint C, which is 0.75m from the left end of
the string, 0.030 seconds after the oscillator starts shaking the string. Calculate the wavelength of the wave on
the left half of the string.
0.0
0.1
0.2
0.3
0.4
Time le)
Do
Wall
Dot
Oscillator
Note: Figure not drawn to scale.
Velocity (m/s)
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