Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.24 m from the grating. Part A In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 2.84 mm. What is the difference between these wavelengths? Express your answer in meters.

Visible light passes through a diffraction grating that has 900 slits per centimeter, and the interference pattern is observed on a screen that is 2.24 m from the grating. Part A In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 2.84 mm. What is the difference between these wavelengths? Express your answer in meters.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 118CP: Blue light of wavelength 450 nm falls on a slit of width 0.25 mm. A converging lens of focal length...

See similar textbooks

Related questions

Q: a.You shine an orange laser (639 nm) on a double slit in an experiment you perform in your physics…

Q: Repeating the experiment above but with only one slit, the width of the slit is 0.50 mm illuminated…

Q: A flat screen is located 0.68 m away from a single slit. Light with a wavelength of 540 nm (in…

Q: Light from a helium-neon laser (λ = 633 nm) is used to illuminate two narrow slits. The interference…

A: wavelength of light = 633 nm D is the distance from the slit to the screen = 2.8 m There are 12…

Q: Light with wavelength å passes through a narrow slit of width w and is seen on a screen which is…

Q: A scientist notices that an oil slick floating on water when viewed from above has many different…

Q: A double-slit interference pattern is created by two narrow slits spaced 0.190 mm apart. The…

A: Part (a) Given: The distance between two slits is d=0.190 mm. The distance of screen from slits is…

Q: Light of wavelength 480 nm in air shines on two slits 5.50×10-2 mm apart. The slits are immersed in…

Q: A thin film of oil with an index of refraction n = 1.5 and thickness t = 55 nm floats on water. The…

A: Write the given values with the suitable variables.Here, n is the thickness.

Q: A double-slit Young experiment with a separation of 22.6 µm is traversed by blue light whose…

Q: A radar for tracking aircraft broadcasts a 12 GHz microwave beam from a 2.0-m-diameter circular…

A: (a) Diameter of the radar beam at 30 km is the width of the central bright fringe due to…

Q: In the figure, two radio-frequency point sources S1 and S2, separated by distance d = 1.6 m, are…

A: To determine the number of maxima detected by the detector, we need to analyze the interference…

Q: A radar for tracking aircraft broadcasts a 12 GHz microwave beam from a 2.0-m-diameter circular…

A: (a) Write the expression for wavelength of the electromagnetic wave. The radar antenna is acts as a…

Q: Light from a 580 nm wavelength laser is shown through a double slit. This light is projected on a…

A: Solution: For the double split experiment, The condition of interference maxima is given as:…

Q: A perfectly flat piece of glass (n = 1.50) is placed over a perfectly flat piece of black plastic (n…

A: Given that : The refractive index of the glass n1=1.5 The refractive index of the glass n2=1.2 The…

Q: Problem 2 For wavelengths in the visible spectrum, the index of refraction of a cer- tain type of…

Q: Light of wavelength 633 nm is incident normally on a diffraction grating. The second-order maximum…

A: Given : λ = 633 nm = 633 × 10-9 m θ = 49° m = 2

Q: A laser beam is incident on two slits with separation d = 0.016 mm. A screen is placed L = 4.8 m…

Q: Part A (Figure 1) shows a light wave incident on and passing through a thin soap film. Reflections…

A: part(a) What is the thickness of the film in terms of the light wavelength inside it. Part(b) Do the…

Q: The analysis of any two-point source interference pattern and a successful determination of…

A: Young’s equation can be expressed as

Q: Ascientist notices that an oil slick floating on water when viewed from above has many different…

A: Data given , Wavelength ( λ ) = 750 nm Refractive index of water = 1.33 For the first case ,…

Q: In a Young's double-slit experiment, two rays of monochromatic light emerge from the slits and meet…

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

Light of Differing Wavelengths on a Diffraction Grating
Visible light passes through a diffraction grating that has 900 slits per centimeter, and the
interference pattern is observed on a screen that is 2.24 m from the grating.
▾
Part A
In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 2.84 mm. What is the difference between these wavelengths?
Express your answer in meters.
▸ View Available Hint(s)
for Pan for Partido for Part redo foart A refor Part A keyboard shortcuts for Part A help for Part A
Submit
Provide Feedback
m

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: Given

VIEW

Step 2: Calculation

VIEW

Solution

VIEW

Step by step

Solved in 3 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

Red light (=710.nm) illuminates double slits separated by a distance d=0.150 mm. The screen and the slits are 3.00 m apart. (a) Find the distance on the screen between the central maximum and the third maximum. (b) What is the distance between the second and the fourth maxima?
Light of wavelength 500 nm is incident normally on a diffraction grating. If the third-order maximum of the diffraction pattern is observed at 32.0, (a) what is the number of rulings per centimeter for the grating? (b) Determine the total number of primary maxima that can be observed in this situation.
Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?
A diffraction grating with 2000 lines per centimeter is used to measure the wavelengths emitted by a hydrogen gas discharge tube. (a) At what angles will you find the maxima of the two first-order blue lines of wavelengths 410 and 434 nm? (b) The maxima of two other first-order lines are found at 1=0.097 rad and 2=0.132 rad . What are the wavelengths of these lines?
A student sets up a double-slit experiment using mono chromatic light of wavelength . The distance between the slits is equal to 25 . (a) Find the angles at which the m = 1, 2, and 3 maxima occur on the viewing screen. (b) At what angles do the first three dark fringes occur? (c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.
Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20.0 m. (b) What slit width would place this minimum at 85.0°? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics
The limit to the eye’s acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.00-mm-diameter pupil, assuming an average wavelength of 550 nm? (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.30 m apart? (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye? (d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
(a) What visible wavelength has its fourth-order maximum at an angle of 25.0° when projected on a 25,000-line per centimeter diffraction grating? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
(a) What do the four angles in the preceding problem become if a 5000-line per centimeter diffraction grating is used? (b) Using this grating, what would the angles be for the second-order maxima? (c) Discuss the relationship between integral reductions in lines per centimeter and the new angles of various order maxima.
(a) Find the maximum number of lines per centimeter a diffraction grating can have and produce a maximum for the smallest wavelength of visible light. (b) Would such a grating be useful for ultraviolet spectra? (c) For infrared spectra?
(a) If the first-order maximum for monochromatic light falling on a double slit is at an angle of 10.0° , at what angle is the second-order maximum? (b) What is the angle of the first minimum? (c) What is the highest-order maximum possible here?