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Calculate the thickness of a soap bubble film (refractive index μ =1.3) that will result in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is 5000 A0 (Thickness (+) is in Ao)?
Correct answer is '961.538'. Can you explain this answer?
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Calculate the thickness of a soap bubble film (refractive index μ =...
The condition for constructive interference in the reflected light or fro the brightness of soap bubble film is:-
When, n = 0 ,1 ,2 ,3 ..............
If the light is incident normally on the film, then r = 0
& cos r = 1
putting the given values , we get:-
for least thickness of the film (n=1)
∴ least thickness of the film
t = 961.53 A0
When, n = 0 ,1 ,2 ,3 ..............
If the light is incident normally on the film, then r = 0
& cos r = 1
putting the given values , we get:-
for least thickness of the film (n=1)
∴ least thickness of the film
t = 961.53 A0
Most Upvoted Answer
Calculate the thickness of a soap bubble film (refractive index μ =...
To calculate the thickness of a soap bubble film, we need to know the refractive index of the soap film.
The refractive index of a substance is a measure of how light propagates through it. In this case, we assume the refractive index refers to the refractive index of air.
The thickness of a soap bubble film can be calculated using the formula:
2 * (2 * m + 1) * λ / (4 * n)
where:
m is the order of the interference (0, 1, 2, ...)
λ is the wavelength of light incident on the film
n is the refractive index of air
The interference order, m, determines the number of wavelengths of light that fit into the thickness of the film.
Assuming λ = 500 nm (typical wavelength of green light) and n = 1 (refractive index of air), let's calculate the thickness for the first few interference orders:
For m = 0:
thickness = 2 * (2 * 0 + 1) * 500 nm / (4 * 1) = 500 nm
For m = 1:
thickness = 2 * (2 * 1 + 1) * 500 nm / (4 * 1) = 1500 nm
For m = 2:
thickness = 2 * (2 * 2 + 1) * 500 nm / (4 * 1) = 2500 nm
So, for the given assumptions, the thickness of a soap bubble film would be approximately 500 nm for the first interference order, 1500 nm for the second interference order, and 2500 nm for the third interference order.
The refractive index of a substance is a measure of how light propagates through it. In this case, we assume the refractive index refers to the refractive index of air.
The thickness of a soap bubble film can be calculated using the formula:
2 * (2 * m + 1) * λ / (4 * n)
where:
m is the order of the interference (0, 1, 2, ...)
λ is the wavelength of light incident on the film
n is the refractive index of air
The interference order, m, determines the number of wavelengths of light that fit into the thickness of the film.
Assuming λ = 500 nm (typical wavelength of green light) and n = 1 (refractive index of air), let's calculate the thickness for the first few interference orders:
For m = 0:
thickness = 2 * (2 * 0 + 1) * 500 nm / (4 * 1) = 500 nm
For m = 1:
thickness = 2 * (2 * 1 + 1) * 500 nm / (4 * 1) = 1500 nm
For m = 2:
thickness = 2 * (2 * 2 + 1) * 500 nm / (4 * 1) = 2500 nm
So, for the given assumptions, the thickness of a soap bubble film would be approximately 500 nm for the first interference order, 1500 nm for the second interference order, and 2500 nm for the third interference order.
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Calculate the thickness of a soap bubble film (refractive index μ =1.3) that will result in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is 5000 A0 (Thickness (+) is in Ao)?Correct answer is '961.538'. Can you explain this answer?
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Calculate the thickness of a soap bubble film (refractive index μ =1.3) that will result in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is 5000 A0 (Thickness (+) is in Ao)?Correct answer is '961.538'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Calculate the thickness of a soap bubble film (refractive index μ =1.3) that will result in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is 5000 A0 (Thickness (+) is in Ao)?Correct answer is '961.538'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the thickness of a soap bubble film (refractive index μ =1.3) that will result in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is 5000 A0 (Thickness (+) is in Ao)?Correct answer is '961.538'. Can you explain this answer?.
Calculate the thickness of a soap bubble film (refractive index μ =1.3) that will result in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is 5000 A0 (Thickness (+) is in Ao)?Correct answer is '961.538'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Calculate the thickness of a soap bubble film (refractive index μ =1.3) that will result in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is 5000 A0 (Thickness (+) is in Ao)?Correct answer is '961.538'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the thickness of a soap bubble film (refractive index μ =1.3) that will result in constructive interference in the reflected light if the film is illuminated with light whose wavelength in free space is 5000 A0 (Thickness (+) is in Ao)?Correct answer is '961.538'. Can you explain this answer?.
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