A child is playing with a bubble wand, which is a large rectangular wire frame that contains a soap film. The child holds the wand vertically, which causes the film to be thinner at the top and thicker at the bottom, forming a wedge shape. Assume a thickness of essentially zero at the top. White light shines on the film with approximately normal incidence. The child views the reflected light from the film and sees the first violet interference band at a distance of 3.00 cm from the top edge of the film. The index of refraction of the soap film is the same as that of water, n = 1.33, and the wavelength of violet light is à = 403 nm. (a) At what distance (in cm) from the top edge of the film does the child see the first red (i = 666 nm) interference band? 4.95 cm (b) What is the thickness (in nm) of the soap film at the location of the first violet interference band? 125.e-9 Use the constructive interference condition you found in part (a) that relates the thickness to the wavelength, index of refraction, and integer m. What value of m corresponds to the first fringe? What wavelength should be used in this case? nm What is the thickness (in nm) of the soap film at the location of the first red interference band? 2.52e-5 Use the constructive interference condition you found in part (a) that relates the thickness to the wavelength, index of refraction, and integer m. What value of m corresponds to the first fringe? What wavelength should be used in this case? nm (c) What is the wedge angle of the film (in rad)? rad

icon
Related questions
Question
100%

Help neeee part b and C only thanks

A child is playing with a bubble wand, which is a large rectangular wire frame that contains a soap film. The child holds the wand
vertically, which causes the film to be thinner at the top and thicker at the bottom, forming a wedge shape. Assume a thickness of
essentially zero at the top. White light shines on the film with approximately normal incidence. The child views the reflected light
from the film and sees the first violet interference band at a distance of 3.00 cm from the top edge of the film. The index of
refraction of the soap film is the same as that of water, n = 1.33, and the wavelength of violet light is å = 403 nm.
(a) At what distance (in cm) from the top edge of the film does the child see the first red (A = 666 nm) interference band?
4.95
cm
(b) What is the thickness (in nm) of the soap film at the location of the first violet interference band?
125.e-9
Use the constructive interference condition you found in part (a) that relates the thickness to the wavelength, index of
refraction, and integer m. What value of m corresponds to the first fringe? What wavelength should be used in this case? nm
What is the thickness (in nm) of the soap film at the location of the first red interference band?
2.52e-5
Use the constructive interference condition you found in part (a) that relates the thickness to the wavelength, index of
refraction, and integer m. What value of m corresponds to the first fringe? What wavelength should be used in this case? nm
(c) What is the wedge angle of the film (in rad)?
rad
Transcribed Image Text:A child is playing with a bubble wand, which is a large rectangular wire frame that contains a soap film. The child holds the wand vertically, which causes the film to be thinner at the top and thicker at the bottom, forming a wedge shape. Assume a thickness of essentially zero at the top. White light shines on the film with approximately normal incidence. The child views the reflected light from the film and sees the first violet interference band at a distance of 3.00 cm from the top edge of the film. The index of refraction of the soap film is the same as that of water, n = 1.33, and the wavelength of violet light is å = 403 nm. (a) At what distance (in cm) from the top edge of the film does the child see the first red (A = 666 nm) interference band? 4.95 cm (b) What is the thickness (in nm) of the soap film at the location of the first violet interference band? 125.e-9 Use the constructive interference condition you found in part (a) that relates the thickness to the wavelength, index of refraction, and integer m. What value of m corresponds to the first fringe? What wavelength should be used in this case? nm What is the thickness (in nm) of the soap film at the location of the first red interference band? 2.52e-5 Use the constructive interference condition you found in part (a) that relates the thickness to the wavelength, index of refraction, and integer m. What value of m corresponds to the first fringe? What wavelength should be used in this case? nm (c) What is the wedge angle of the film (in rad)? rad
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer