1. Consider two wave with wavefunctions, y1(x, t) = 4.00m sin(am¯1x – as-'t) and y2(x, t) = 4.00m sin( am-lx – S %3D X - – Ts-lt+ and added together to poduce a resulting wave as in 3 the graph below. Hint: For reading values on the graph between solid grid lines intervals, round them to correspond to the midpoint of the interval. y(m) 4 8 - YR 4 2 -2 x(m) --4 -6 -8 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 Use the graph above to answer the following questions. a) What are the wavelengths and amplitudes of the two origonal waves? 1 = 12 = A1 = A2 = b) What is the wavelength and amplitude of the resulting wave? 1,= A,=

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 101P: Consider two wave functions that differ only by a phase shift, y1(x,t)=Acos(kxt) and...
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-1
1. Consider two wave with wavefunctions, yı(x, t) = 4.00m sin(am¯'x – Tst) and
-1
= 4.00m sin( rm
-1
TSt +
IT
and added together to poduce a resulting wave as in
3
y2(x, t)
x,
the graph below. Hint: For reading values on the graph between solid grid lines intervals, round them
to correspond to the midpoint of the interval.
y(m) 4
8.
YR
6.
Y2
4
2
-2
x(m)
-4
-6
-8
0.5
1.5
2 2.5
3 3.5 4
4.5
5 5.5 6
Use the graph above to answer the following questions.
a) What are the wavelengths and amplitudes of the two origonal waves?
=
m
A2 =
A2 =
m
b) What is the wavelength and amplitude of the resulting wave?
1,=
m
A,=
m
Transcribed Image Text:-1 1. Consider two wave with wavefunctions, yı(x, t) = 4.00m sin(am¯'x – Tst) and -1 = 4.00m sin( rm -1 TSt + IT and added together to poduce a resulting wave as in 3 y2(x, t) x, the graph below. Hint: For reading values on the graph between solid grid lines intervals, round them to correspond to the midpoint of the interval. y(m) 4 8. YR 6. Y2 4 2 -2 x(m) -4 -6 -8 0.5 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 Use the graph above to answer the following questions. a) What are the wavelengths and amplitudes of the two origonal waves? = m A2 = A2 = m b) What is the wavelength and amplitude of the resulting wave? 1,= m A,= m
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