Open-Response Homework Problem 28.2 You are given two strings of different densi
ID: 1515097 • Letter: O
Question
Open-Response Homework Problem 28.2 You are given two strings of different densities tied together. (Like the lab demo) You shake the first string up and down once, causing one complete sinusoidal wave pulse. The wavelength is 25cm. and at t = 0, the leading edge of the wave is 25cm from the join of the two strings, as shown in the first picture. In the first string, the wave travels at a speed of 0.5m/s. The second picture shows the wave at a time after the first picture. How does the period of the wave on string 1 compare to the period on string 2? Justify your answer. Which string has more mass per unit length? Why? What is the speed of the wave in string 2? Justify your answer. How much time passed between the two pictures?Explanation / Answer
a) to calculate the period of wave 1 we have;
frequency = velocity / wave length
Period = 1 /frequency
= wave length / velocity
For 1st string
Period = wave length / velocity
= 0.25 / 5
= 0.5 sec
As wave crosses a boundary, its speed and wavelength change while its frequency remains same.
So, the period of wave will remains same on both the strings
(b) the ratio of mass /unit length will be more for the one which has less wave length & velocity of wave is more.
therefore for the first wave it is heavier.
c) P2 = 0.5 sec
wave length 2 / velocity 2 = 0.5
0.5 / velocity 2 = 0.5
velocity 2 = 1 m/s
d) time passed between two waves is 0.5 sec
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