1. Consider two point sources separated by a distance of 10 meters. The longitud

ID: 2092855 • Letter: 1

Question

1. Consider two point sources separated by a distance of 10 meters. The longitudinal

waves emitted from the two sources have the wavelength of ? = 1m. The velocity of the

wave is 2m/sec. What is the frequency f and the period T?

Consider the picture:

A B C

*......................... *-------------------------*.

Assume that the longitudinal waves starting from A and B at the time t = 0 are in

phase. The distance AB = 10 meters. The wave at A and B have an amplitude

A = 01.m.

. .

a) What will be the wave displacement at the point C?

b) What will be the result if C is moved 1 meter to the right?

c) The distance between A and B is changed to 10.5 meters. (The point C remains as in

case b.) Find the wave displacement at the point C.

d) Repeat case "a" assuming that the source "A" is delayed by 0.5 seconds with respect

to source "B". (The distance AB is 10 meters.)

f=velocity/lambda=2 Hz

T=1/f=0.5 sec

since AB=path difference=10m

and lanbda is1 m so there will be constructive interference at C

a) wave displacement at the point C=0.02

b) same

c) zero

d)wave displacement at the point C=0.02

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