The second-order dark fringe in a single-slit diffraction pattern is 1.40 mm from the center of the central maximum. Assuming the screen is 85.8 cm from a slit of width 0.685 mm and assuming monochromatic incident light, calculate the wavelength of the incident light.

The second-order dark fringe in a single-slit diffraction pattern is 1.40 mm from the center of the central maximum. Assuming the screen is 85.8 cm from a slit of width 0.685 mm and assuming monochromatic incident light, calculate the wavelength of the incident light.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 32P: The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the...

See similar textbooks

Related questions

Q: Suppose you want to produce a double-slit interference pattern where the distance between…

A: The equation for the distance between adjacent bright fringes in double slit experiment is given by

Q: When shined through a pair of slits which are 1.84 micrometers apart, an interference pattern is…

Q: Given the wavelength in air of the light 1 = 500 nm, the separation of the slits d = 0.5 mm, and the…

A: Recall ∆y=distance between m=0 and m=1 =λD/d

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: Monochromatic light with wavelength 490 nm passes through a circular aperture, and a diffraction…

Q: Light passes through a diffraction grating with a slit spacing of 0.0015 mm. A viewing screen is…

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: With two slits spaced d=0.2mm apart, and a screen at a distance of l=1m, the third bright fringe…

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

Q: A person wants to produce a double-slit interference pattern large enough for her class to see. For…

A: The expression for the minimum distance is,

Q: Two thin slits separated by 0.14 mm are illuminated by a monochromatic plane wave, producing…

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: A beam of red light, λ = 660 nm, passes through double slits separated by 0.0800 mm. What is the…

A: Given, Wavelength λ = 660 nm = 660 x 10-9 m Separation between slits d = 0.0800 mm = 0.0800 x 10-3 m…

Q: At what angle is the first–order maximum for 420–nm wavelength blue light falling on double slits…

Q: At what angle is the fourth-order maximum for for 450-nm wavelength blue light falling on double…

A: Here, mλ=d sinθmθm=sin-1mλd

Q: At what angle in degrees is the first-order maximum for 465-nm wavelength blue light falling on…

A: wavelength (λ) = 465 nm slit separation (d) = 0.054 mm = 0.000054 m Order of maxima (n) = 1

Q: At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits…

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: 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: A screen is placed 50.0 cm from a single slit, which is illuminated with light of wavelength 690 nm.…

Q: At most, how many bright fringes can be formed on either side of the central bright fringe when…

Q: At what angle is the first-order maximum for 430-nm wavelength blue light falling on double slits…

A: Data we have λ=430nm=430×10-9m d=0.0500mm n=1

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

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

Q: In a double-slit experiment, if the central diffraction peak contains 15 visible interference…

A: Given: Visible (bright) fringes: 15 If there are 15 central fringes, then that means there are 7 on…

Q: At what angle in degrees is the first-order maximum for 475-nm wavelength blue light falling on…

A: Given wavelength of light λ = 475 nm Separation between slits d = 0.0460 mm To find Angle in…

Q: Red light of 600nm wavelength is used to produce double-slits are separated by 1.6mm, and if they…

A: We have a red light of wavelength λ=600 nm=600*10-9m going through a double slit producing fringes…

Q: Light of wavelength 620 nm falls on a double slit, and the first bright fringe of the interference…

A: wavelength of light λ=620 nmangle with horizontal θ=15°To determine -The seperation between the…

Q: A Young's double -slit arrangement with slit width 0.2cm produces interference fringes for red light…

A: For double slit interference, using small angle formula approximation,

Q: A 550-nm monochromatic light is produced in two slits, which are 5 cm away from each other, and…

A: Wavelength, λ=550 nm = 550×10-9 m Distance between slits, d = 5 cm = 0.05 m Distance between slits…

Q: A laser light with wavelength of, N = 630nm, allowed to pass through double slit interference with a…

Q: A single slit 1.0mm wide is illuminated by 450-nm light. What is the widthof the central maximum (in…

A: Given: Width of slit d = 1 mm or 1 × 10-3 m Wavelengthλ = 450 nm or 450 × 10-9 m Distance between…

Q: A diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be…

A: Diffraction grating formula for central maximum is, dsinθ=nλ Given: Wavelength, λ=520 nm…

Q: A single slit 3.6 mm wide is illuminated by 650 nm light. What is the width of the central maximum…

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%

The second-order dark fringe in a single-slit diffraction pattern is 1.40 mm from the center of the central maximum. Assuming the
screen is 85.8 cm from a slit of width 0.685 mm and assuming monochromatic incident light, calculate the wavelength of the
incident light.
nm
Need Help?
Read It

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

At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits separated by 0.0500 mm?
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.
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?
In a double-slit experiment, the fifth maximum is 2.8 cm from the central maximum on a screen that is 1.5 m away from the slits. If the slits are 0.15 mm apart, what is the wavelength of the light being used?
If the separation between the first and the second minima of a single-slit diffraction pattern is 6.0 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.16 mm.
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?
Determine the intensities of two interference peaks other than the central peak in the central maximum of the diffraction, if possible, when a light of wavelength 628 nm is incident on a double slit of width 500 nm and separation 1500 nm. Use the intensity of the central spot to be 1mW/cm2 .
A single slit of width 0.1 mm is illuminated by a mercury light of wavelength 576 nm. Find the intensity at a 10° angle to the axis in terms of the intensity of the central maximum.
Find the distance between two slits that produces the first minimum for 410-nm violet light at an angle of 45.0°.
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?
A monochromatic light of wavelength 589 nm incident on a double slit with slit width 2.5 m and unknown separation results in a diffraction pattern containing nine interference peaks inside the central maximum. Find the separation of the slits.
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.