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 C to 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 C but 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.
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 C to 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 C but 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.
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