A collimated beam of mercury green light at 546.1 nm is nor- mally incident on a slit 0.015 cm wide. A lens of focal length 60 cm is placed behind the slit. A diffraction pattern is formed on a screen placed in the focal plane of the lens. De- termine the distance between (a) the central maximum and first minimum and (b) the first and second minima.

A collimated beam of mercury green light at 546.1 nm is nor- mally incident on a slit 0.015 cm wide. A lens of focal length 60 cm is placed behind the slit. A diffraction pattern is formed on a screen placed in the focal plane of the lens. De- termine the distance between (a) the central maximum and first minimum and (b) the first and second minima.

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 light beam of wavelength 560 nm falls normally on a glass wedge with refractive index 1.63. If the…

Q: Calculate the minimum thickness needed for an antirefle ive coating (n = 1.38) applied to a glass…

A: Given:- n = 1.38 a) Blue ( 450 nm ) b) Red ( 720 nm ) The reflection of light at the normal…

Q: When performing a Young's double slit experiment, if for a certain wavelength of light the first…

Q: A film of oil on water will appear dark when it is very thin,because the path length difference…

A: Given condition for destructive interference

Q: A thin film of glass (n = 1.52) of thickness 0.420 mm is viewed under white light at near normal…

A: The expression to determine the wavelength,

Q: difference between the beams is x/2 at the point.A and r at the point B, then the difference between…

Q: The two headlights of an approaching automobile are 1.4 m apart. At what (a) angular separation and…

Q: Light of wavelength 515.00 nm is incident normally on a diffraction grating, and the second-order…

Q: In a single-slit diffraction experiment, there is a minimum of intensity for orange light (l= 600…

A: Write the expression for the condition for the minima that is located at angles (θ) to the central…

Q: In a double slit interference pattern, the intensity at the peak of the central maximum (m = 0) is…

A: Given that, The phase difference between the wave from the two slits, ϕ is 45.0°. The frequency of…

Q: What must be the ratio of the slit width to the wavelength for a single slit to have the first…

Q: A slit of width 0.56 mm is illuminated with light of wavelength 492 nm, and a screen is placed 130…

A: When monochromatic light of constant wavelength is passed through a slit it diffract from both the…

Q: Calculate the angle at which a 2.00-μm -wide slitproduces its first minimum for 410-nm violet light.…

A: Given : width of the slit, a = 2.00-μm = 2 × 10-6 m Wavelength of violet light, λ1 =…

Q: find the slit spacing of a diffraction grating necessary for 450nm light to have a first-order (m=1)…

Q: Light with a single wavelength of 642 nm is directed upon two thin slits separated by a distance of…

A: Given data The wavelength of light (λ) = 642nm = 642×10-9m The separation between the slits (d) =…

Q: Analysis of an interference effect in a clear solid shows thatthe wavelength of light in the solid…

Q: Show that for a double slit fraunhofer pattern if a=mb the number of bright fringes with in the…

A: In Double Slit Fraunhofer first diffraction minimum is given by bSinθ=λ…

Q: A 10-slit aperture, with slit spacing five times the slit width of 10^-4 cm, is used to produce a…

A: Given information: Here, N is the number of slits, e is the slit width and λ is the wavelength of…

Q: Sodium vapor light (average wavelength 607 nm) falls on a single slit of width 7.25 μm. At what…

Q: The Fraunhofer pattern of a double slit under λ=950 nm illumination appears in the back focal plane…

Q: Light from a helium-neon laser (λ = 633 nm) passes through a circular aperture and is observed on a…

A: Concept: The wavelength of the helium-neon laser is. It will use high voltage DC as the pump source…

Q: ated by 24.4 μm and are illuminated by a laser with wavelength 514 nm. If a screen is placed at a…

Q: Light of wavelength 587.5 nm illuminates a slit of width 0.75mm. At what distance from the slit…

Q: A lens appears greenish-yellow ( λ= 570 nm is strongest) when white light reflects from it. What…

A: wavelength (λ) reflected most strongly = 570 nm refractive index of coating (n) = 1.25refractive…

Q: We consider a Newton's rings experiment. It consists of a plano-convex glass lens of index of…

Q: A Michelson interferometer is adjusted to give a fringe pattern of concentric circles when…

A: We know, ∆m=2∆dλ∆d=λ2∆m

Q: .Vhat slit spacing is required to give a separation of 2 cm between the second and third order…

A: In the problem we are given separation between second and third maxima but from theory of Young…

Q: Monochromatic light of wavelength 573 nm falls on 2 slits separated by 0.13 mm. On a screen a…

Q: Consider a single-slit diffraction pattern for λ=564nm, projected on a screen that is 1.9 m from a…

Q: Prove that for a second-order maximum to exist in a Young’s double-slit experiment, the angle to the…

Q: a difraction is getting illumnated by monochormatic light of wavelength 660nm what is the number of…

A: Wavelength of the light =660 nm =660×10^-7 cm No of maxima =2

Q: Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 μm . At what…

A: Condition for minimum for single slit is dsinθ=mλsinθ=mλdθ=sin-1mλd

Q: How many dark fringes will be produced on either side of the central maximum if light (λλ = 699 nm)…

A: Given: The wavelength of the light is 699 nm. The slit width is 4.84x10-6 m.

Q: A planar light with a wavelength of 500 nm (20) is incident on two long slits of 0.10 mm width, 0.20…

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

Problem 1:
A collimated beam of mercury green light at 546.1 nm is nor-
mally incident on a slit 0.015 cm wide. A lens of focal length
60 cm is placed behind the slit. A diffraction pattern is
formed on a screen placed in the focal plane of the lens. De-
termine the distance between (a) the central maximum and
first minimum and (b) the first and second minima.
Collimated
beam Slit Lens
LAf= 60 cm
- 60 cm-
0.015 cm

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

Trending now

This is a popular solution!

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

If a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?
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?
A 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?
An experimenter detects 251 fringes when the movable mirror in a Michelson interferometer is displaced. The light source used is a sodium lamp, wavelength 589 nm. By what distance did the movable mirror move?
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?
Into one arm of a Michelson interferometer, a plastic sheet of thickness 75 m is inserted, which causes a shift in the interference pattern by 86 fringes. The light source has wavelength of 610 nm in air. What is the index of refraction of this plastic?
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?
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?
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.
Suppose you have a lens system that is to be used primarily for 700-nm red light. What is the second thinnest coating of fluorite (magnesium fluoride) that would be nonreflective for this wavelength?
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?
A single slit of width 0.10 mm is illuminated by a mercury lamp of wavelength 576 nm. Find the intensity at a 10° angle to the axis in terms of the intensity of the central maximum.