Light with a single wavelength of 642 nm is directed upon two thin slits separated by a distance of 0.519 mm. If the spatial separation of central maxima and the 5th order maxima is measured to be 3.22 mm on a screes, what distance away is the screen in meters?

Light with a single wavelength of 642 nm is directed upon two thin slits separated by a distance of 0.519 mm. If the spatial separation of central maxima and the 5th order maxima is measured to be 3.22 mm on a screes, what distance away is the screen in meters?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 33P: If 500-nm and 650-nm light illuminates two slits that are separated by 0.50 mm, how far apart are...

See similar textbooks

Related questions

Q: Light of wavelength 550. nm is used to calibrate a Michelson interferometer. With the use of a…

A: The number of fringe shifts observed is,

Q: Single-slit diffraction maximum. Light of wavelength 750 nm passes through a slit 1.0x10-³mm wide.…

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

A: Given The wavelength of laser light is λ=630 nm=630×10-9 m. The seperation distance of interference…

Q: What is the wavelength of light in nm falling on double slits separated by 1.95 if the third order…

A: Let d is the separation between the slits. θ is the angle from the original direction of the beam. m…

Q: If, in a two-slit interference pattern, there are 8 bright fringes within the first side peak of the…

A: The expression for the ratio of slit separation to slit width,

Q: How wide must a narrow slit be if the first diffraction minimum occurs at ±12° with laser light of…

Q: A slit of width 0.52 mm is illuminated with light of wavelength 496 nm, and a screen is placed 122…

A: For each side of central maxima, we know that successive minima for each side yields m=1. Using the…

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

Q: What is the smallest separation between two slits that willproduce a second-order maximum for 720-nm…

Q: Laser light with a wavelength λ = 680 nm illuminates a pair of slits at normal incidence. What slit…

A: Given: Wavelength of laser light (λ) = 680 nm. First order maxima Angle (θ) = 40

Q: How wide in m is a single slit that produces its first minimum for 626-nm light at an angle of…

A: Solution: Given: Question on single slit diffraction. λ = wavelength of light = 626 nm = 626 x 10-9…

Q: At what angle is the first minimum for 550-nm lightfalling on a single slit of width 1.00 μm ? (b)…

Q: If the distance between the first and tenth minima of a double-slit pattern is 18.0 mm and the slits…

Q: Light of wavelength 680 nm falls on two slits andproduces an interference pattern in which the…

A: Equation to find the separation between slits is given by, d=mλDy d:slit seperationm:order of…

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

Q: For a light of wavelength unknown passes trough a slit with the width of 4 µm, if the second inimum…

A: Given slit width(d)=4*10-6 m angular position of second minimum (θ2)=16.60 Required position of…

Q: If mirror M2 in a Michelson interferometer is moved through 0.233 mm, a shift of 792 bright fringes…

Q: A light with wave legnth 690nm shines on a pair of narrow slits separated by .133 mm with the…

Q: Structures on a bird feather act like a reflection grating having 6,750 lines per centimeter. What…

A: Given- n=6750 cm-1So,d=1n=1675000=1.48×10-6 m We know that we can find the angle at which the…

Q: A 0.50-mm-diameter hole is illuminated by light of wavelength 600 nm. What is the width (in mm) of…

A: The width of the central maximum is given by

Q: When a student shines 580-nm yellow light at a double-slit arrangement, she finds that the…

A: Given data: Wavelength of the incident light is, λ= 580-nm = 580×10-9 m Position of the first order…

Q: In a double-slit experiment, the fifth maximum is 2.8 cm from the central maximum on a screen that…

Q: If a single slit produces a first minimum at 14.5, at what angle is the third-order minimum for the…

A: We know, for the first order, Dsinθ = mλDsinθ =1λ ...... (I) For the third order,…

Q: Structures on a bird feather act like a reflection gratinghaving 8000 lines per centimeter. What is…

A: The separation between the centers of two adjacent slits is given by,

Q: Single-colour light falling on two slits 0.042 mm apart produces the fifth-order fringe at a 3.8°…

A: We need to find wavelength of light . For which we need to use diffraction condition and on putting…

Q: A beam of 650 nm light is directed upon two thin slits that are separated by a distance of 0.750 mm.…

Q: If, in a two-slit interference pattern, there are 6 bright fringes within the first side peak of the…

A: There are 6 bright fringes within the first side peak . To find = Ratio of slit separation to slit…

Q: Suppose a beam of laser light (λ = 514 nm) strikes a screen containing two narrow slits separated…

A: The expression used to calculate distance between consecutive fringes is β=λDd

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

Q: If the distance between two slits is 0.75 μm and the distance to a screen is 1.5 m, find the angular…

A: Given information: Here, d is the slit separation, D is the distance between slit and screen, λ1…

Q: If 720-nm and 660-nm light passes through two slits0.62 mm apart, how far apart are the second-order…

A: Given: The wavelength of light is λ=720 nm. The wavelength of light is λ'=660 nm. The distance is…

Q: A diffraction grating has 8900 slits across 1.20 cm. If light with a wavelength of 500 nm is sent…

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: If a single slit produces a first minimum at 14.5°, at what angle is the third-order minimum for the…

A: The angle of diffraction is given by the equation, mλ=dsinθsinθ=mλd The first minima occurs at 14.5…

Q: Light with a single wavelength of 595 nm is directed upon two thin slits separated by a distance of…

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: Calculate the angle for the third-order maximum of 580-nmwavelength yellow light falling on double…

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

Light with a single wavelength of 642 nm is directed upon two thin slits separated by a distance of 0.519 mm. If the spatial separation of central maxima and the 5th
order maxima is measured to be 3.22 mm on a screes, what distance away is the screen in meters?

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

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 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?
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?
If 500-nm and 650-nm light illuminates two slits that are separated by 0.50 mm, how far apart are the second-order maxima for these two wavelengths on a screen 2.0 m away?
Calculate the wavelength of light that produces its first minimum at an angle of 36.9° when falling on a single slit of width 1.00 m.
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.
What is the highest-order maximum for 400-nm light falling on double slits separated by 25.0 m?
Monochromatic light of frequency 5.51014 Hz falls on 10 slits separated by 0.020 mm. What is the separation between the first and third maxima on a screen that is 2.0 m from the slits?
At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits separated by 0.0500 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?
Shown below is a double slit located a distance x from a screen, with the distance from the center of the screen given by y. When the distance d between the slits is relatively large, numerous bright spots appear, called fringes. Show that, for small angles (where sin , with in radians), the distance between fringes is given by y=x/d
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?
How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction effects of the eye’s pupil limit the resolution? Assume 550 nm for the wavelength of light, the pupil diameter 5.0 mm, and 400,000 km for the distance to the moon.