Part 1 Visible light of frequency f = 4 x 10¹4 Hz is beamed directly at a metal reflector. Light is traveling in water, where its speed is 2.25 x 108 m/s. a) Calculate the wavelength of the visible light. λ = b) Consider λ = 5 x 10-7 m. The spacing Ax between successive antinodes in the resulting standing-wave pattern is given by: c) 5 x 10-7 2 m Ax= Calculate Δr. m 5 x 10-7 3 5 x 10-7 4

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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 = 4 x 10¹4 Hz is beamed directly at a metal reflector. Light is traveling in
water, where its speed is 2.25 × 108 m/s.
a)
Calculate the wavelength of the visible light.
λ=
b)
Consider = 5 x 10-
standing-wave pattern is given by:
5 x 10
2
c)
Ax =
a)
E₁ =
b)
E₂ =
-7
m
X =
Calculate Ax.
m
Part 2
A standing wave is given by E= 200 sin( 3.14 x) cos(9.42 t). Two waves E₁ and E2 can be
superimposed to generate this standing wave.
m. The spacing Ax between successive antinodes in the resulting
m
5 x 10
3
-7
Determine the wave E₁ as per the below:
sin(
x +
Determine the wave E2 as per the below:
sin(
5 x 10
4
-7
c)
The wavelength of this wave is 2 m. For x ≥ 0, 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 = 4 x 10¹4 Hz is beamed directly at a metal reflector. Light is traveling in water, where its speed is 2.25 × 108 m/s. a) Calculate the wavelength of the visible light. λ= b) Consider = 5 x 10- standing-wave pattern is given by: 5 x 10 2 c) Ax = a) E₁ = b) E₂ = -7 m X = Calculate Ax. m Part 2 A standing wave is given by E= 200 sin( 3.14 x) cos(9.42 t). Two waves E₁ and E2 can be superimposed to generate this standing wave. m. The spacing Ax between successive antinodes in the resulting m 5 x 10 3 -7 Determine the wave E₁ as per the below: sin( x + Determine the wave E2 as per the below: sin( 5 x 10 4 -7 c) The wavelength of this wave is 2 m. For x ≥ 0, what is the location of the antinode having the smallest value of x?
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