A thin film of oil (n= 1.42) and of thickness 83 nm is floating on water (n=1.33). What is the minimum of the dominant color in the reflected light, when white light is incident normally on the wavelength film?

A thin film of oil (n= 1.42) and of thickness 83 nm is floating on water (n=1.33). What is the minimum of the dominant color in the reflected light, when white light is incident normally on the wavelength film?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter25: Geometric Optics

Section: Chapter Questions

Problem 31PE: (a) A narrow beam of light containing yellow (580 nm) and green (550 nm} wavelengths goes from...

See similar textbooks

Related questions

Q: Solve for the Fermi temperature Of(K), effective mass ratio m³/mẹ and electron concentration nº =…

A: We are given the following table of values and we have to find the Fermi temperature. Note; 1 eV =…

Q: A thick slab of conducting material carries a current to the right in a magnetic field pointing into…

Q: EXAMPLE 6.3 Verify that (6.75) is the ground-state energy eigenfunction for the hydrogen atom with…

A: Solution:

Q: A beam of light polarized along the y axis and moving along the +z axis passes through two…

A: final intensity = I = 61 W/m2 angles = 30 and 70

Q: 10. The highest key on a piano corresponds to a frequency about 150 times that of the lowest key.…

A: We are given the relation between frequencies of 2 strings. The wavelength is double of the length…

Q: Particle of mass 9×10-31 kg and a negative charge of 1.6x10-19 C is projected horizontally with a…

Q: Suppose there exists a hypothetical galaxy with mass MG around the center of which a solar system…

A: Given, Mass of Galaxy = 1× 10 40 kg Mass of solar system = 2× 1028 kg Radius = 2.5 × 1020 m We need…

Q: student is performing measurements with a hockey puck on a large merry- go-round. The merry-go-round…

Q: A house has a roof (colored gray) with the dimensions shown in the drawing. Determine the magnitude…

A: Given:- The house has a roof with the dimension shown in the figure as The drop-down of the…

Q: A step up transformer on a 113 volt line has 46 loops on the primary and 137 loops on the secondary,…

Q: The following data describe the position of an object along the x-axis as a function of time. Time…

Q: 4. Consider a uniform line of charge of length L = 40 cm. If the electric potential at point P…

Q: WA3: Sketch the resultant wave when the two traveling wave pulses in the figure interact,…

Q: Suppose you are hiking down the Grand Canyon. At the top, the temperature early in the morning is a…

A: Given, lower temperature = 2.34 °Chigher temperature = 34.1 °C To convert temperature in Fahrenheit…

Q: Find the energy required to increase the temperature of 10-gram water from 0OC to 100OC.

A: Given in question - Mass of the water(m) = 10 gm Initial temperature(t) = 0OC Final Temperature(T)…

Q: Accomplished silver workers in India can pound silver into incredibly thin sheets, as thin as 3.00 x…

Q: 10. Draw the direction of electron flow, label the poles of the electromagnet, and determine the…

A: Electron flow is opposite to conventional flow. The electron flows from negative terminal to…

Q: Calculate the relative number of protons in the higher and lower magnetic states (using the…

A: Given that Temperature (T) =300K Magnetic field (B0) =7T γ=2.68x108radT-1s-1 h=6.625x10-34J.s…

Q: (n) ultraviolet photon has a wavelength of 0.000400 cm. Find the momentum, the frequency, and the…

Q: A bicycle is rolling down a circular hill that has a radius of 7.49 m. As the figure illustrates,…

A: Given data: Radius of the circular hill (R) = 7.59 m Angular displacement (θ) = 0.960 rad Radius of…

Q: 25. A soap bubble appears green (λ = 540 nm) at the point on its front surface nearest the viewer.…

Q: An electron is accelerated from rest through a potential difference of 3.19 x 102 V. Determine the…

A: a) Write the work-energy theorem. W=KEf−KEiq(ΔV)=12mvf2−12mvi2 Here, q is the charge of an electron,…

Q: 11. A truck (m = 2700 kg) is passing the middle of a bridge whose radius of curvature is 350 meters.…

Q: The electric power generated by a single average size nuclear reactor block is typically between 400…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Potassium iodide has an interplanar spacing of d = 0.296 nm. A monochromatic X-ray beam shows a…

A: We know , λ = (2dsinθ)/m λ = 2*0.296*sin8°/ 1 λ = 0.082 nm

Q: Review Conceptual Example 2 before attempting this problem. The moon has a diameter of 3.48 x 106 m…

Q: A 63.0 kg bungee jumper jumps off a bridge and undergoes damped simple harmonic motion. If the…

Q: nuclear power plant in California and is scheduled for decommissioning in 2025. A product of nuclear…

Q: 1) A student standing in a canyon yells "echo", and her voice produces a sound wave of frequency of…

A: a) Calculate the wavelength of the sound wave. λ=vfλ=325 m/s0.65 kHz×1000 Hz1 kHzλ=0.5 m

Q: 19. Using hydraulic system, you can raise a car ( m = 1500 kg) to a height of 2.5 meters. If the…

A: The given problem is based on the application of Pascal's principle. By using pressure we will be…

Q: A geologist uses a simple pendulum that has a length of 37.10 cm and a frequency of 0.8190 Hz at a…

Q: A right conical tank with the point oriented down, a height of 17 feet, and a radius of 5 feet has…

Q: What is the rms speed of air molecules (O2 and N2) at room temperature (20°C)?

Q: The steering wheel of a car has a radius of 0.20 m, and the steering wheel of a truck has a radius…

Q: A block of mass 2.5 kg sits on a frictionless 30° incline and is attached with a string to a wall so…

A: Given data: Mass (m) = 2.5 kg Inclined angle (θ) = 30° Linear mass density (μ) = 1.3 g/m = 0.0013…

Q: Two sources of light illuminate a double slit simultaneously. One has wavelength 570 nm and the…

Q: 31.62 3A Consider an RLC circuit with driving emf amplitude Em = 12 V, resistance R = 4.00,…

Q: Problem 3: A series RC circuit is built with an R = 12 k resistor and a parallel-plate capacitor…

A: Given data- Resistance R=12 K Ω=12×103 Ω Diameters of electrodes D=15 cm=15×10-2 m Voltage ε0=12 V,…

Q: Use the worked example above to help you solve this problem. If the spacing between certain planes…

A: Calculate the grazing angle for the first order interference. sinθ1=n1λ2dsinθ1=(1)(0.0692 nm)2(0.3…

Q: If 200 cm3 of tea at 95°C is poured into a 150-g glass cup initially at 25°C, what will be the…

Q: What power of a contact lens will allow a person with a near point of 80 cm to read a book that is…

A: Given data: The virtual image is v=-80 cm The object is u=-25 cm

Q: Which one of the following statements best describes the pressure in a static, homogeneous liquid? O…

A: Given data: A static, homogeneous liquid Required: The correct statement about the pressure

Q: In the case of the street light as shown in the diagram, the weight of the light is 80 N. The length…

Q: 4) The turbines at a coal-powered power plant were just upgraded, resulting in an improvement in…

A: increase in efficiency = 3.32 % Heat transferred into the heat engine in one day = 2.25×1014 J

Q: How is torque derrived symbolically, explain.

A: Introduction: Torque: It is sort of tendency of force to cause rotational motion about any given…

Q: A force is acting on a 2.00 kg particle whose position changes with time as x = 4.0 t² - (1/3) t³,…

Q: Two widely separated charged metal spheres A and B have the same electrical surface potential. The…

Q: An aluminum rod is 20.0 cm long at 20OC and has a mass of 350 gram. If 10000 joule of energy is…

Q: The Sun orbits the center of the Milky Way galaxy once each 2.60 × 108 years, with a roughly…

Q: As shown in the figure below, a light ray is incident normal to one face of a 30°-60°-90° block of…

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

100%

A thin film of oil (n= 1.42) and of thickness 83 nm is floating on water (n=1.33). What is the minimum
wavelength of the dominant color in the reflected light, when white light is incident normally on the
film?
O blue-green (493 nm)
O blue (471 nm)
O violet (404 nm)
green (541 nm)
O yellow (572 nm)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

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) A narrow beam of light containing yellow (580 nm) and green (550 nm} wavelengths goes from polystyrene to air, striking the surface at a 30.0° incident angle. What is the angle between the colors when they emerge? (b) How far would they have to travel to be separated by 1.00 mm?
Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.
A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a 30.0incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?
Figure P36.53 shows two thin glass plates separated by a wire with a square cross section of side length w, forming an air wedge between the plates. What is the edge length w of the wire if 42 dark fringes are observed from above when 589-nm light strikes the wedge at normal incidence? FIGURE P36.53
Figure 3.14 shows two 7.50-cm-long glass slides illuminated by pure 589-nm wavelength light incident perpendicularly. The top slide touches the bottom slide at one end and rests on some debris at the other end, forming a wedge of air. How thick is the debris, if the dark bands are 1.00 mm apart? Figure 3.14 (a) The rainbow-color bands are produced by thin-film interference in the air between the two glass slides. (b) Schematic of the paths taken by rays in the wedge of air between the slides. (c) If the air wedge is illuminated with monochromatic light, bright and dark bands are obtained rather than repeating rainbow colors.
Show that the distribution of intensity in a double-slit pattern is given by Equation 36.9. Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=E0sintE2=E0sin(t+) The phase angle in in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. Recall from Equation 33.27 that the intensity of light is proportional to the square of the amplitude of the electric field. In addition, the apparent intensity of the pattern is the time-averaged intensity of the electromagnetic wave. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You will also need the trigonometric identity sinA+sinB=2sin(A+B2)cos(AB2)
A Fraunhofer diffraction pattern is produced on a screen located 1.00 m from a single slit. If a light source of wavelength 5.00 107 m is used and the distance from the center of the central bright fringe to the first dark fringe is 5.00 103 m, what is the slit width? (a) 0.010 0 mm (b) 0.100 mm (c) 0.200 mm (d) 1.00 mm (e) 0.005 00 mm
A parallel beam of light containing orange (610 nm) and violet (4.10wm) wavelengths goes from fused quartz to water, striking the surface between them at a 60.00 incident angle. What is the angle between the two colors in water?
Red light of wavelength of 700 nm falls on a double slit separated by 400 nm. (a) At what angle is the first-order maximum in the diffraction pattern? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 rad