A soap film (n = 1.33) is formed in a loop of wire that is mounted vertically is not exactly uniform in thickness because of its weight, but wedge-shaped in cross section. When the film is illuminated with the orange light of wavelength 630 nm, one sees that a distance of 2.60 cm separates two bright fringes that are 4 orders apart. By how much does the film differ in thickness over this distance? in mico meters.

A soap film (n = 1.33) is formed in a loop of wire that is mounted vertically is not exactly uniform in thickness because of its weight, but wedge-shaped in cross section. When the film is illuminated with the orange light of wavelength 630 nm, one sees that a distance of 2.60 cm separates two bright fringes that are 4 orders apart. By how much does the film differ in thickness over this distance? in mico meters.

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)...

See similar textbooks

Related questions

Q: Light of wavelength 500 nm is incident perpendicularly from air on a film 10-4 cm thick and of…

A: (a)Use the relation between wavelength and refractive index to calculate the number of wavelengths.…

Q: Light with λ = 650 n m is incident on 2 slits, each with a width of 0.25 mm and separated by 0.75 mm…

Q: In the double-slit arrangement of the figure below, d = 0.150 mm, L = 115 cm, λ = 643 nm, and y =…

A: in this question we use path difference equation for L>>>y .

Q: When red (660 nm) light is shone through a double slit the angle of the first dark fringe in the…

A: Given that Wavelength of incident light λ = 660 nm Angular position of first dark fringe θ1 = 4.2…

Q: A film of liquid with refractive index 1.3 is spread on glass whose refractive index is 1.65.…

A: refractive index of liquid (n) = 1.3 refractive index of glass (N) = 1.65wavelength (λ) = 620 nm

Q: A light source simultaneously emits light of two wavelengths, 460 nm and 654 nm, respectively. The…

Q: White light spans the wavelength range between about 400 nm and 700 nm. If white light passes…

A: Given value--- wavelength range = 400 nm - 700 nm. separation between two slit = 0.117 mm. Distance…

Q: A diffraction pattern forms when light passes through a single slit. The wavelength of the light is…

A: Given, Wavelength=601nm

Q: In a double-slit diffraction experiment, two slits of width 13.7 x 10-6 m are separated by a…

A: Solution: Given that- Slit width = 13.7 X 10-6 m Separation distance (d)= 27.8 x10-6 m Wavelength…

Q: ght from coherent monochromatic light source with a wavelength of 5.50 x 10² nm is incident on (and…

Q: Parallel rays of monochromatic light with wavelength 594 nm illuminate two identical slits and…

A: Calculate the tangent of angle θ. tanθ=yRtanθ=0.88 mm×1 m1000 mm75 cm×1 m100 cmtanθ=1.173×10−3…

Q: monochromatic light beam coming from a point source illuminates two parallel horizontal slits. The…

Q: Suppose the green plane wave (1, = 500.00 nm) in air (n = 1.00) falls at 10.00° on the surface of a…

A: Given: Wavelength of green,λ0=500nm=500×10-9mRefractive index of air,μa=1Refractive index of…

Q: Problem 13: Light with a wavelength of λ = 640 nm is incident on a single slit of width w = 4.75…

Q: Green light (λ = 546 nm) illuminates a pair of narrow, parallel slits separated by 0.250 mm. Make a…

Q: Blue light of wavelength 482 nm is directed through parallel slits separated by 0.15 mm. A fringe…

A: For the parallel slits, the positions of the dark spots follow the equation sin θ =m+12 λd θ=angle…

Q: A thin film of thickness 0.4 x 10-6 m and refractive index 1.4 is coated on plastic of refractive…

A: Given data: Thickness of the film, t=0.4×10-6 m Refractive index of thin film, n=1.4 Refractive…

Q: In a double-slit diffraction experiment, two slits of width 12.4 x 10-6 m are separated by a…

Q: Light with a wavelength of 600 nm falls on a thin soap film. The angle of incidence is 30°. In the…

A: Given: The wavelength of light is 600 nm The incidence angle is 300 The adjacent band distance is 4…

Q: 9. Monochromatic light falls on a slit that is 0.00240 mm wide. If the angle fringes on either side…

Q: Light shines through a single slit whose width is 5.6 × 10-4 m. A diffraction pattern is formed on a…

A: Given: The width of the slit is 5.6x10-4 m. The distance of the screen is 4 m. The distance of the…

Q: In a two-slit interference experiment, if light with wavelength 481.0 nm goes through two slits…

Q: Light with a wavelength of λ = 655 nm is incident on a single slit of width w = 4.75 micrometers. A…

Q: A sheet of metal has a large number of slits, each 5.0 mm wide and 20 cm apart. It is used as a…

Q: A laser light with wavelength of, 7 = 630nm, allowed to pass through double slit interference with a…

Q: Two narrow, parallel slits separated by 0.850 mm are illuminated by 610-nm light, and the viewing…

Q: A thin film having an index of refraction of 1.50 is surrounded by air. It is illuminated normally…

A: Given that, The refractive index of the film n=1.50 The destructive interference is found for the…

Q: You are working with an electrical engineer who wants to send you messages with his microwave…

A: In this question we have to find the location of the first dark fringe on the wall. Please give…

Q: The light shining on a diffraction grating has a wavelength of 495 nm (in vacuum). The grating…

A: Given data: Wavelength of the light, λ=495 nm=495×10-9 m Order of bright fringe, n=2 Bragg angle,…

Q: Light waves with two different wavelengths, 642 nm and 474 nm, pass simultaneously through a single…

Q: A soap film (n = 1.33) is formed in a loop of wire that is mounted vertically is not exactly uniform…

A: Fringe is the revolving light and dark band that forms as a result of interference. When two light…

Q: Two slits spaced 0.15 mm apart are placed 75.0 cm from a screen. An interference pattern is observed…

Q: Light of wavelength 632 nm passes through a slit 7.00 × 106 m wide and falls on a screen that is…

Q: Red light having a wavelength of 690 nm (in air) is vertically incident on a thin film of oil that…

Q: 15. Light with a wavelength of 646 nm passes through two slits and forms an interference pattern on…

A: Given that-Wavelength, λ= 646 nm=646×10-9 mDistance between central bright fringe & second-order…

Q: Two plane rectangular pieces of glass are in contact at one edge and are separated at the other end…

Q: Coherent light that contains two wavelengths, 660 nm (red) and 470 nm (blue), passes through two…

A: Given, Wavelength of red light, λ1=660 nm Wavelength of blue light, λ2=470 nm Distance between the…

Q: A slit has a width of W1 = 2.6 × 10-6 m. When light with a wavelength of λ1 = 535 nm passes through…

A: Slit width, W1 = 2.6 × 10-6 m Wavelength, λ1 = 535 nm Slit widht, W2 = ? Wavelength, λ2 = 587 nm

Q: Two slits separated by 2.00 × 10-³ m are illuminated by light of wavelength 625 nm. If the screen is…

Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

A soap film (n = 1.33) is formed in a loop of wire
that is mounted vertically is not exactly uniform in
thickness because of its weight, but wedge-shaped
in cross section. When the film is illuminated with
the orange light of wavelength 630 nm, one sees
that a distance of 2.60 cm separates two bright
fringes that are 4 orders apart. By how much does
the film differ in thickness over this distance? in
%3D
mico meters.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Diffraction of light$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A broad beam of light of wavelength 527 nm is sent directly downward through the glass plate (n = 1.46) in Figure (a). That plate and a plastic plate (n = 1.17) form a thin wedge of air that acts as a thin film. An observer looking down through the top plate sees the fringe pattern shown in Figure (b), with dark fringes centered on the ends. (a) What is the thickness (in m) of wedge at the right end? (b) How many dark fringes will the observer see if the air between the plates is replaced with a liquid with n = 1.26? Incident light (a) Number (b) Number i Units Units (a) (b)
A sheet of glass of refractive index 1.50 is coated with a 400 nm-thick layer of oil of index 1.36. What is the longest wavelength of light in the visible region (400 nm - 700 nm) for which you get desructive interference.
Coherent light of frequency 6.30×1014 Hz passes through two thin slits and falls on a screen 85.0 cm away. You observe that the third bright fringe occurs at ± 3.14 cm on either side of the central bright fringe. How far apart are the two slits? d=?mm At what distance from the central bright fringe will the third dark fringe occur? y=?cm
Light with a wavelength of 633 nm goes through a narrow slit. The angle between the first minimum on one side of the central maximum and the first minimum on the other side is 1.2o. What is the width of the slit?
In a double-slit interference experiment, the wavelength is 737 nm, the slit separation is 0.180 mm, and the screen is 33.0 cm away from the slits. What is the linear distance between the sixth order maximum and the third order maximum on the screen in millimeters?
Monochromatic red light with a wavelength of 660nm is incident on a pair of narrow slits that are separated by a distance of 4.00×10^4 *m. A viewing screen is placed a distance of 120cm behind the slits to observe the intensity pattern of the light after passing through the slits. a) Relative to the center of the pattern, where is the center of the third bright fringe?
A very thin sheet of plastic covers one slit of a double-slit apparatus illuminated by 680-nm light. The centre point on the screen, instead of being a maximum, is dark. What is the (minimum) thickness of the plastic? (The refractive index of the plastic cover is 1.60)
Laser light of wavelength 627.0 nm passes through a double-slit arrangement at the front of a lecture room, reflects off a mirror 29.2 m away at the back of the room, and then produces an interference pattern on a screen at the front of the room. The distance between adjacent bright fringes is 9.52 cm. What is the slit separation in meters? Number i 0.000192 Units m
A film with thickness d=300 nm and index of refraction n=1.5 to white light from one side. Which colors of white light are strongly reflected and which are transmitted?
A film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 278 nm. What is the wavelength of the most strongly reflected if it is illuminated perpendicular to its surface? Round your answer to 0 decimal places.
What is the minimum thickness of a glycerin film (n=1.47) on which light of wavelength 600 mm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air 075 nm 102 nm 150 mm 204 mm
A diffraction pattern forms when light passes through a single slit. The wavelength of the light is 556 nm. Determine the angle that locates the first dark fringe when the width of the slit is (a) 2.3 × 10-4 m and (b) 2.3 × 10-6 m.