A broad beam of light of wavelength 600 nm is sent directly downward through a glass plate ( n = 1.5) That plate and a plastic plate (n = 1.2) form a thin wedge of air which acts as a thin film as shown in Figure (a). An observer looking down through the top plate sees the fringe pattern shown in the figure (b) in the reflected light (the black colors are the dark bands). Suppose the air gap is filled with water (n = 1.33). How many dark bands will now be seen?

A broad beam of light of wavelength 600 nm is sent directly downward through a glass plate ( n = 1.5) That plate and a plastic plate (n = 1.2) form a thin wedge of air which acts as a thin film as shown in Figure (a). An observer looking down through the top plate sees the fringe pattern shown in the figure (b) in the reflected light (the black colors are the dark bands). Suppose the air gap is filled with water (n = 1.33). How many dark bands will now be seen?

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: Oil film of thickness d = 5.06 um lies on surface of water, as shown in Figure 1. Monochromatic…

Q: An oil film (n = 1.45) floating on water is illuminated by white light at normal incidence. The film…

A: a) Strongly reflected wavelength in visible spectrum. Calculation.

Q: You are standing in air and are looking at a flat piece of glass (n = 1.52) on which there is a…

Q: ng n1 n2 r4 i -L-

A: Given: Refraction index n1 = 1.59 Refraction index n2 = 1.52 Refraction index n3 = 1.53 Thickness of…

Q: A 500nm layer of oil floats on a puddle of water. Reflected sunlight is observed from directly…

Q: Light of original intensity 100 W/m2 passes through two ideal polarizing filters having their…

Q: the light. Problem 4: Light of wavelength 436 nm in air enters a fishbowl filled with water, then…

Q: White light passes through a 15.0-cm-thick, silicate flint, glass slab with opposite, smooth,…

A: Given light passes through a 15.0-cm-thick angle between white light and normal =38° index of…

Q: An oil film with refractive index 1.48 and thickness 290 nm is floating on water and illuminated…

A: Given, Refractive index, k = 1.48 Thickness, t = 290 nm = 290 x 10-9 m

Q: A technician places a fluid substance, with a refractive index of 1.71, between two horizontal panes…

A: Given data as per question refractive index = 1.71 wavelength = 300nm

Q: The figure shows a monochromatic beam of light of wavelength 558 nm incident on a slab of crown…

Q: A laser beam with vacuum wavelength 632.8 nm is incident from air onto a block of Lucite as shown in…

Q: A technician places a fluid substance, with a refractive index of 1.61, between two horizontal panes…

Q: In the figure, a broad beam of light of wavelength 525 nm is sent directly downward through the top…

Q: On a rainy day, when the pavement is covered by water, a thin film of oil has gathered on top of the…

Q: A glass sheet 0.910 um thick is suspended in air with white light incident perpendicularly on the…

Q: An instructor places a fluid substance, with a refractive index of 1.61, between two horizontal…

A: The condition for constructive interference is 2n1t=2n+1λ2 where n1 is the refractive index of…

Q: A film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 233 nm. What…

Q: A soap/water film on a wire loop (this means a thin layer of water with air on either side, and nair…

A: As nair < noil <nwater , there will be phase shift due to reflection at boundary, which will…

Q: In a Michelson interferometer experiment, light from a 630 nm wavelength laser is split by a…

Q: A uniform film of oil (n = 1.31) is floating on water. When sunlight in air is incident normally on…

A: In case of thin film interface, for oil floating on the water, Condition for brightness or…

Q: Light of several wavelengths strikes a thin film of index 1.4. The thickness of the thin film is 320…

A: Given: R.I of the thin film: μtf=1.4 R.I of the water: μw=1.33 The thickness of the film: t=320 nm

Q: A thin film of oil (no = 1.5) with varying thickness floats on water (n = 1.33). When it is…

A: (a)At point A on the figure 24.60 the thickness of layer of oil is very small and is negligible as…

Q: A thin film of oil (n = 1.25) is located on smooth wet pavement, creating a system composed of the…

A: Given information: The refractive index of the oil ηoil=1.25 The refractive index of the water…

Q: In the figure, a broad beam of light of wavelength 610 nm is incident at 90 on a thin, wedge-shaped…

Q: An extremely thin sheet of glass is being inspected at the laboratory. Illuminated by white light at…

Q: A technician places a fluid substance, with a refractive index of 1.75, between two horizontal panes…

A: Answer Given n= refractive index =1.75 m= order = 1 λ=wavelength = 550nm We have the formula 2nt =…

Q: A transmission grating, whose lines are separated by 2.0 * 10-6m is illuminated by a narrow beam of…

Q: The taillights of a car are 2 m apart and produce light of wavelength 600 nm in vacuum. The pupil…

Q: As shown in the figure below, two transparent polycarbonate plates, each 19.0 cm long, touch each…

A: given: length l =19 cm = 0.19 m d = 0.058 mm =0.058*10-3 m

Q: As shown above, two beams of laser light are shown onto two different pieces of plastic. The two…

A: Given data- wavelength λ=600 nm out the phase=2.5 m piece 1, index of refraction μ1=1.4 thickness…

Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

A broad beam of light of wavelength 600 nm is sent directly downward through a glass plate (
n = 1.5) That plate and a plastic plate (n = 1.2) form a thin wedge of air which acts as a thin
film as shown in Figure (a). An observer looking down through the top plate sees the fringe
pattern shown in the figure (b) in the reflected light (the black colors are the dark bands).
Suppose the air gap is filled with water (n = 1.33). How many dark bands will now be
seen?
Glass n = 1.5
B
A
Plastic n = 1.2
(a) Air wedge
A
B
(b) Fringe pattern
An air wedge formed by a plastic and a glass plate produces a fringe pattern.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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 broad beam of light of wavelength 600 nm is sent directly downward through the glass plate (n = 1.41). That plate and a plastic plate (n = 1.24) form a thin wedge of air that acts as a thin film. An observer looking down through the top plate sees the fringe pattern, with 7 dark fringes, having two 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 = 1.35?
A perfectly flat piece of glass (n = 1.50) is placed over a perfectly flat piece of black plastic (n = 1.20) as shown in the figure a. They touch at A. Light of wavelength 600 nm is incident normally from above. The location of the dark fringes in the reflected light is shown on the sketch of figure b. (a) How thick is the space between the glass and the plastic at B? (b) Water (n = 1.33) seeps into the region between the glass and the plastic. How many dark fringes are seen when all the air has been displaced by water? (The straightness and equal spacing of the fringes is an accurate test of the flatness of the glass.) (a) (b) A Glass =1.50 Plastic n=1.20 B
A student holds a laser that emits light of wavelength 632.8 nm. The laser beam passes through a pair of slits separated by 0.300 mm, in a glass plate attached to the front of the laser. The beam then falls perpendicularly on a screen, creating an interference pattern on it. The student begins to walk directly toward the screen at 3.00 m/s. The central maximum on the screen is stationary. Find the speed of the 50th-order maxima on the screen.
Problem 1: You want to test a special watertight monochromatic light source in an un- derwater environment. If the light source shines its beam of electromagnetic radiation into your eyes when you and the light source are above the water, with both your eyes and the light source immersed in air, the beam appears to your eyes to have a deep violet color. The index of refraction of water is about 1.33 What color, if any, would your eyes perceive the beam to have when you and the light source are submerged in water – and why? (A) No color. The beam would become invisible under water because its wavelength in water is shorter than in air, corresponding to a wavelength of ultra-violet light. The beam's wavelength in the water determines its visibility to the eye under water, and ultra-violet light is not visible to the human eye. (B) Same color as in air, above the water, i.e., deep violet. Under water, the beam would have the same wavelength as in air. The beam's wavelength in the water…
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 1 = 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? cm (b) What is the thickness (in nm) of the soap film at the location of the first violet interference band? nm What is the thickness (in nm) of the soap film at the location of the first red interference band? nm (c) What is the wedge…
A thin layer of oil floats on a puddle of water. When sunlight hits the film from directly above, the colors red (650 nm) and violet (390 nm) are reflected. What is the minimum thickness of the oil? Use n=1.5 for the oil, and n=1.33 for water.
A sodium light, having wavelength 589.3 nm, is used to view a soap film to make it look black when directed perpendicular to the film. What is the minimum thickness of the soap film if the index of refraction of soap solution is 1.38?
A beam of coherent orange light in air (nD = 1.00029) strikes a piece of glass with a refractive index of 1.52 at an angle 24° from normal. a) What will the angle of refraction be? b) If coherent blue light were used instead, would the angle of refraction be larger or smaller? Explain why.
A very narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 0.68 m thick flat block of crown glass and back to air again. The beam strikes at a 30.0º incident angle. By what distance (in mm) perpendicular to their direction of travel are the red and blue beams separated when they emerge? The index of refraction for λ = 660 nm is 1.512 and the index of refraction for λ = 470 nm is 1.524. Enter a number with 3 digits behind the decimal point.