Consider two wave with wavefunctions, y, (x,t) = 4.00msin (л m¯ ¹x− я s¯ ¹t) and y2(x,t)= 4.00msin m¯ ¹×¯ ¯ ¯¯ ¹ƒ± below. π 3 and added together to poduce a resulting wave as in the graph Hint: For reading values on the graph between solid grid lines intervals, round them to correspond to the midpoint of the interval. y(m) 8 6 4 Уг 2 0 -2 -4 Ур -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? = m = A = m m = A₁₂ m b) What is the wavelength and amplitude of the resulting wave? = A = r m m x(m)

University Physics Volume 1
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Chapter16: Waves
Section: Chapter Questions
Problem 95P: Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes...
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Consider two wave with wavefunctions, y, (x,t) = 4.00msin (л m¯ ¹x− я s¯ ¹t) and
y2(x,t)= 4.00msin m¯ ¹×¯ ¯ ¯¯ ¹ƒ±
below.
π
3
and added together to poduce a resulting wave as in the graph
Hint: For reading values on the graph between solid grid lines intervals, round them to correspond to
the midpoint of the interval.
y(m)
8
6
4
Уг
2
0
-2
-4
Ур
-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?
=
m
=
A =
m
m
=
A₁₂
m
b) What is the wavelength and amplitude of the resulting wave?
=
A =
r
m
m
x(m)
Transcribed Image Text:Consider two wave with wavefunctions, y, (x,t) = 4.00msin (л m¯ ¹x− я s¯ ¹t) and y2(x,t)= 4.00msin m¯ ¹×¯ ¯ ¯¯ ¹ƒ± below. π 3 and added together to poduce a resulting wave as in the graph Hint: For reading values on the graph between solid grid lines intervals, round them to correspond to the midpoint of the interval. y(m) 8 6 4 Уг 2 0 -2 -4 Ур -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? = m = A = m m = A₁₂ m b) What is the wavelength and amplitude of the resulting wave? = A = r m m x(m)
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