Two transverse sinusoidal waves combining in a medium are described Y₁ = 5.00 sin z(x + 0.900t) Y₂ = 5.00 sin z(x - 0.900t) where x, y₁, and y₂ are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions. (a) x = 0.110 cm lymax= 0.060 X When two waves interfere the displacement of the medium at any particular position and time is given by the sum of the displacements due to the individual waves. cm (b) x = 0.440 cm lymax!= 0.241 X What is the function of x and t that is generated by writing the sum of these two waves? cm (c) x = 1.60 cm lymax=0.876 X You might consider making a rough sketch of the two waves at t = 0 and consider what happens to the sum of these two waves at the given value of x. cm (d) Find the three smallest values of x corresponding to antinodes. (Enter your answers from smallest to largest.) cm cm cm

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter35: Diffraction And Interference
Section: Chapter Questions
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Two transverse sinusoidal waves combining in a medium are described by the wave functions
Y₁ = 5.00 sin(x + 0.900t)
Y₂ = 5.00 sin z(x - 0.900t)
where x, y₁, and y₂ are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions.
(a) x = 0.110 cm
lymax = 0.060
X
When two waves interfere the displacement of the medium at any particular position and time is given by the sum of the displacements due to the individual waves.cm
(b) x = 0.440 cm
lymax = 0.241
X
What is the function of x and t that is generated by writing the sum of these two waves? cm
(c) x = 1.60 cm
lymax!= 0.876
X
You might consider making a rough sketch of the two waves at t = 0 and consider what happens to the sum of these two waves at the given value of x. cm
(d) Find the three smallest values of x corresponding to antinodes. (Enter your answers from smallest to largest.)
cm
cm
cm
Transcribed Image Text:Two transverse sinusoidal waves combining in a medium are described by the wave functions Y₁ = 5.00 sin(x + 0.900t) Y₂ = 5.00 sin z(x - 0.900t) where x, y₁, and y₂ are in centimeters and t is in seconds. Determine the maximum transverse position of an element of the medium at the following positions. (a) x = 0.110 cm lymax = 0.060 X When two waves interfere the displacement of the medium at any particular position and time is given by the sum of the displacements due to the individual waves.cm (b) x = 0.440 cm lymax = 0.241 X What is the function of x and t that is generated by writing the sum of these two waves? cm (c) x = 1.60 cm lymax!= 0.876 X You might consider making a rough sketch of the two waves at t = 0 and consider what happens to the sum of these two waves at the given value of x. cm (d) Find the three smallest values of x corresponding to antinodes. (Enter your answers from smallest to largest.) cm cm cm
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