Visible light is incident perpendicularly on a diffraction grating of 200 rulings/mm. What are the (a) longest, (b) second longest, and (c) third longest wavelengths that can be associated with an intensity maximum at u = 30.0°?

Visible light is incident perpendicularly on a diffraction grating of 200 rulings/mm. What are the (a) longest, (b) second longest, and (c) third longest wavelengths that can be associated with an intensity maximum at u = 30.0°?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 53AP: For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the...

See similar textbooks

Related questions

Q: Consider a thin film of thickness t = 2.30 × 10-6 m and index of refraction ng = 1.20. The film is…

A: From the question, it is given that- Thickness of thin film: t = 2.30×10-6 m Refractive index of…

Q: InFig. 36.12c the central diffraction maximum contains exactly seven interferencefringes, and in…

A: To determine: Ratio da, if the central maximum contains exactly five fringes. Number of fringes…

Q: In the experiment of two slots with distance d, one slit is covered by a glass tile with refractive…

A: Given information: Here, n is the refractive index of the glass tile and λ is the wavelength of the…

Q: What is the total number of maxima in the interference pattern created by a diffraction grating with…

A: Given:- The wavelength of light = 950 nm Diffraction grating with N = 10000 lines/cm So, Find the…

Q: Consider the far-field diffraction pattern of a single slit of width 2.125 µm when illuminated…

A: The equation for the angular radius of the central peak as below. sinθ=2n+1λ2

Q: Suppose 1.25 Ångstrom X-rays illuminate a large single crystal of an unknown material. If the Bragg…

Q: When monochromatic light is incident on a slit 22.0 mm wide, the first diffraction minimum lies at…

A: The minima of the diffraction are given by

Q: What is the condition for path difference between two coherent monochromatic light sources to occur…

A: Two light waves are coherent if they have same frequency, same phase and same waveform. If two waves…

Q: When the movable mirror is translated by 0.07 mm, a shift of 300 fringes is observed. What is the…

A: In Michelson interferometer, the shift in the number of fringes due to the translation of the mirror…

Q: What angular separation is obtained after two spectral lines of 550.0 nm and 632.0 nm are observed…

Q: A material having an index of refraction of 1.30 is used as an antireflective coating on a picce of…

Q: In a double-slit experiment, the fourth-order maximum for a wavelength of 450 nm occurs at an angle…

Q: hat is the highest-order maximum for 410 nm light falling on double slits separated by 25.0 µm? =___

A: Given that The wavelength of the light is λ = 410 nm The separation…

Q: A beam of light consists of two wavelengths, 590.159 nm and 590.220 nm, that are to be resolved with…

A: The expression for resolving power R is,

Q: What is the smallest Bragg angle for x rays of wavelength 30 pm to reflect from reflecting planes…

Q: Two coherent light sources of intensities ratio 36:9 are employed in an interference experiment.…

A: Two coherent light sources of intensities ratio,

Q: When the light of wavelength 495 nm passes through a single slit of unknown width, the diffraction…

Q: Laser light sent through a double slit produces an interference pattern on a screen 3.00 m from the…

A: Light is having dual nature. One is particle and another one is wave nature. Interference of light…

Q: If 570 nm light falls on a slit 4.20×10-2 mm wide, what is the full angular width of the central…

Q: transparent material (n-1.25) so that light of wavelength 620nm (in vacuum) incident normally is not…

A: Given: Refractive index of material = n = 1.25 Refractive index of glass, ng = 1.5 Wavelength =…

Q: Consider a pair of slits seperated by 1.00 micrometers. What is the angle thetared to the…

A: Given data: Distance between the slits, d=1.00 μm = 1.00×10-6 m Wavelength of red light,λr=700 nm =…

Q: A bubble is formed by a soap film with index of refraction n=1.3 and a thickness of 325nm. When…

Q: A double slit experiment using 532 nm light produces an interference pattern with the 1st order…

A: Given wavelength of light and angle and separation between the first, second order Maxima. Then We…

Q: Find the angular radius of the tenth bright fringe in a Michelson interfer- ometer when the…

Q: Light of wavelength is incident on a slit of width d. Under what conditions is the ray approximation…

A: The wavelength is λ, and the width of the slit is d. Condition under which the ray approximation…

Q: If central bright fringe due to interference for wavelength 5890A a is shifted to the position of 9…

Q: On the soap film (n=1,3), which is in the air, a normal beam of white light rays falls. At what is…

A: Solution: given that n = 1.3 wavelength = 0.65 microns

Q: If a diffraction grating produces a third-order bright spot for red light (of wavelength 670 nmnm )…

Q: A helium-neon laser (2= 632.8 nm) is used to calibrate a diffraction grating. If the first-order…

A: Diffraction gratings Diffraction gratings result sharp diffraction spectra when light is enter into…

Q: The human eye can readily detect wavelengths from about 400 nm to 700 nm. If white light illuminates…

A: Given minimum wavelength of human =400nm Maximum wavelength of humen =700nm Number of lines N=870…

Q: In two-slit interference, if the slit separation is 14 mm and the slit widths are each 2.0 mm, (a)…

A: The order of the light, The first minima in the diffraction pattern,

Q: to the surface. The film has refractive index n2 = 1.30. No reflected light is observed. a) If ni n,…

A: Given:- The wavelength of the light is λ=500 nm n2=1.30 The light incident on the thin film at…

Q: The human eye can readily detect wavelengths from about 400 nm to 700 nm. If white light illuminates…

Q: In the double-slit experiment, suppose the electric fields of the two waves arriving at apoint P on…

Q: The second-order dark fringe in a single-slit diffraction pattern is 1.40 mm from the center of the…

Q: (a) White light is spread out into its spectral components by a diffraction grating. If the grating…

Q: What is the highest-order maximum for 383 nm light falling on double slits separated by 24.0 µm?

A: The wavelength of the light is, λ=383 nm=383×10-9 m The distance between the slits is, d=24…

Q: What is the total number of maxima in the interference pattern created by a diffraction grating with…

A: Given , wavelength of light, λ = 700 nm = 700 × 10-9 m N…

Q: Consider the perpendicular reflection of light of wavelength 520 nm in air from a soap film with…

A: Given data *The given wavelength of th light is λ=520 nm *The refractive index is n = 1.32

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

Visible light is incident perpendicularly on a diffraction
grating of 200 rulings/mm. What are the (a) longest, (b) second
longest, and (c) third longest wavelengths that can be associated
with an intensity maximum at u = 30.0°?

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 with 4 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

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.
For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?
When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?
Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?
Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at =523 nm. What is the intensity of a secondary maxima compared to that of the principal maxima?
A transparent film of thickness 250 nm and index of refraction of 1.40 is surrounded by air. What wavelength in a beam of white light at near-normal incidence to the film undergoes destructive interference when reflected?
As an example of diffraction by apertures of everyday dimensions, consider a doorway of width 1.0 m. (a) What is the angular position of the first minimum in the diffraction pattern of 600-nm light? (b) Repeat this calculation for a musical note of frequency 440 Hz (A above middle C). Take the speed of sound to be 343 m/s.
A film of oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface. If it becomes dark when the path length difference is less than one-fourth the wavelength, what is the thickest the oil can be and appear dark at all visible wavelengths? Oil has an index of refraction of 1.40.
A single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.
In a Michelson interferometer, light of wavelength 632.8 nm from a He-Ne laser is used. When one of the mirrors is moved by a distance D, 8 fringes move past the field of view. What is the value of the distance D?
On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.
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 observedat λ1, where λ1> λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in as shown 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.