Part 2 A standing wave is given by E = 600 sin( 4.14 a) cos( 14.42 t). Two waves E₁ and E₂ can be superimposed to generate this standing wave. a) E₁ = b) E2 = Determine the wave E, as per the below: sin( t) x = Determine the wave E₂ as per the below: sin( c) The wavelength of this wave is 1.5 m. For x ≥ 0, what is the location of the antinode having the smallest value of x? x + m

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Problem 2
This problem is composed of two independent parts.
For all parts of this problem, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY
A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS).
Part 1
Visible light of frequency f = 6 x 10¹4 Hz is beamed directly at a metal reflector. Light is traveling in
plastic, where its speed is 2 x 10 m/s.
a)
Calculate the wavelength of the visible light.
λ =
b)
Consider X = 6.5 x 10-7 m. The spacing Ax between successive antinodes in the resulting
standing-wave pattern is given by:
c)
6.5 x 10-7
2
Ax=
a)
E₁=
b)
E₂ =
m
Calculate ∆r.
Part 2)
A standing wave is given by E= 600 sin( 4.14 a) cos( 14.42 t). Two waves E₁ and E₂ can be
superimposed to generate this standing wave.
x=
m
6.5 x 10-7
3
Determine the wave E, as per the below:
sin(
t)
m
Determine the wave E₂ as per the below:
sin(
x +
6.5 x 10-7
4
c)
The wavelength of this wave is 1.5 m. For a 20, what is the location of the antinode having
the smallest value of x?
Transcribed Image Text:Problem 2 This problem is composed of two independent parts. For all parts of this problem, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS). Part 1 Visible light of frequency f = 6 x 10¹4 Hz is beamed directly at a metal reflector. Light is traveling in plastic, where its speed is 2 x 10 m/s. a) Calculate the wavelength of the visible light. λ = b) Consider X = 6.5 x 10-7 m. The spacing Ax between successive antinodes in the resulting standing-wave pattern is given by: c) 6.5 x 10-7 2 Ax= a) E₁= b) E₂ = m Calculate ∆r. Part 2) A standing wave is given by E= 600 sin( 4.14 a) cos( 14.42 t). Two waves E₁ and E₂ can be superimposed to generate this standing wave. x= m 6.5 x 10-7 3 Determine the wave E, as per the below: sin( t) m Determine the wave E₂ as per the below: sin( x + 6.5 x 10-7 4 c) The wavelength of this wave is 1.5 m. For a 20, what is the location of the antinode having the smallest value of x?
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