You are given two strings of different densities tied togeth

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 0.5 m s . The second picture shows the wave at a time after the first picture.

(a) How does the period of the wave on string 1 compare to the period on string 2? Justify your answer.

(b) Which string has more mass per unit length? Why?

(c) What is the speed of the wave in string 2? Justify your answer.

*sorry the picture is awful/in the wrong place/ sideways

as a String 1 Sturing 2 25cm 25cm String 1 String 2 Boundary

Solution

1) to calculate the period of wave 1 we have;

velocity =frequency * wave length

0.5= 25 /100 * frequency

frequency =2 Hz

frequency =1/ time period= 1/2 =0.5 sec

similarly for the second wave;

frequency=1 Hz

time period =1 second

(b) the ratio of mass /unit length will be more for the one which has less wave length

therefore for the first wave it is more

c)speed =0.5 m sec

d)time passed between two waves is 0.5 sec