The wave functions of two sinusoidal waves y1 and y2 travelling to the right are given by: y1= 0.02 sin(0.5TTX - 10rtt) and y2 = 0.02 sin(0.5TTX - 10Tt + Tt/3), where x and y are in meters and t is in seconds. The resultant interference wave function is

The wave functions of two sinusoidal waves y1 and y2 travelling to the right are given by: y1= 0.02 sin(0.5TTX - 10rtt) and y2 = 0.02 sin(0.5TTX - 10Tt + Tt/3), where x and y are in meters and t is in seconds. The resultant interference wave function is

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 10PQ

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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

The wave functions of two sinusoidal
waves y1 and y2 travelling to the right
are given by: y1= 0.02 sin(0.5Ttx-
10rtt) and y2 = 0.02 sin(0.5Ttx - 10rt
+ Tt/3), where x and y are in meters
and t is in seconds. The resultant
interference wave function is
expressed as:
y_res = 0.069 sin(0.5nx - 10nt +
T/6)
y_res = 0.035 sin(0.5Tx - 10nt +
T/6)
y_res = 0.069 sin(0.5Tx - 10nt+
T/3)
y_res = 0.077 sin(0.5Tx - 10Tnt +
T/6)
y_res = 0.035 sin(0.5Tx - 10nt +
Tt/3)
%3D
y_res = 0.077 sin(0.5Tx - 10nt+
Tt/12)

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