Answered: the fourth-order maximum for pure-light…

the fourth-order maximum for pure-light falling on a double slit is at an angle of 20o What angle is the third-order maximum? What angle is the third-order minimum? Please explain with all math steps

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 27P: (a) If the first-order maximum for monochromatic light falling on a double slit is at an angle of...

See similar textbooks

Related questions

Q: In a Fraunhoffer diffraction due to a narrow slit, calculate the relative intensities of the first,…

A: In optics, the Fraunhofer diffraction equation is used to model the diffraction of waves when the…

Q: Q 1 : Suppose the distance dd between the slits was increased, while leaving everything else the…

A: 1. Given that, The distance d between the slits increases, order of fringes and the wavelength of…

Q: The same double-slit experiment is then immersed in water (with an index of refraction of 1.33) and…

A: fringes width in double slit experiment is given by β=λDdwhere λ is wavelength in airD is distance…

Q: Light of wavelength 570 nm illuminates a diffraction grating. The second-order maximum is at angle…

A: Where mm is millimetre d is slit width

Q: After completing the experiment with the single slit, you wish to determine the width of the slit.…

A: Wavelength=632.8nm Intensity=4cm

Q: Con Monochromatic light falls on a slit that is 2.30x10-3 mm wide. Part A If the angle between the…

A: slit width (d) = 2.3×10-3 mm = 2.3×10-6 m angle between first dark fringe on either side of central…

Q: 2. Light with a wavelength of 612 nm incident on a double slit produces a second order maximum at an…

Q: A student performs a double-slit interference experiment. The student records the fact that a…

A: Condition for dark fringes

Q: Upon using Thomas Young’s double-slit experiment to obtain measurements, the following data were…

Q: What is the wavelength of light falling on double slits separated by 2.03 um, if the third-order…

Q: A grating that has 3300 slits per cm produces a third-order fringe at a 27.0 ∘ angle. Part A What…

A: Diffraction grating Diffraction grating works exactly the same way as a double slit. Instead of two…

Q: A monochromatic light of 646-nm wavelength shines on a single slit and forms a diffraction pattern…

A: Condition for diffraction of wave asinθ =nλWhere , n=1, first miniman=2, for second miniman=n, for…

Q: A thin film interference experiment is performed so that monochromatic light with wavelength A…

A: To get this type of problem we have to note that when light reflects from a medium having a…

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

A: D=2.4 md=1 mm = 1 x 10-3 mw=λD the definitions of D,d and w can be observed in the question

Q: approaching you from a distance on the highway. Is it a motorcycle (one light) or a car (two…

A: Given wavelength = 475 nm d = 5 mm

Q: When light with wavelength 620 x 10-9 m is diffracted through a single slit, the angle of the fourth…

Q: For the single slit diffraction, if the monochromatic light has a wavelength equal to the slit…

A: We have a single slit diffraction experiment with source wavelength say λ and slit width say d such…

Q: Using a diffraction grating with 3000 lines/cm, the second order of a wavelength appears at 8°.…

A: we know that,width of gratings= 1 cm= 0.01 mno. of lense= 3000

Q: A screen is placed 2.00 m behind a single slit. The central maximum in the resulting diffraction…

Q: Light hits a double slit, with a spacing of 178 μm. The 2nd dark spot is located exactly 7.78 cm…

Q: A beam of 525 nm light is incident on a diffraction grating that has 420 grooves/mm. (a) Determine…

Q: A diffraction pattern is produced on a screen 1.40 m from a single slit, using monochromatic light…

A: Write the given values using suitable variables. Here L signifies screen distance, lambda signifies…

Q: passes through two parallel slits separated by a distance of 1.42 μm. Calculate the wavelength of…

A: Angular position of third maximum = 600 = 60×π/180 =1.047 radian Separation between slits = 1.42 μm…

Q: Monochromatic light is directed on a single slot 2.5 x 10-3 mm wide. If The angle between the first…

A: width, w=2.5×10-6 mangle, θ=20°

Q: A student performs a double-slit interference experiment. The student records the fact that a…

A: It is given that, The angle of the third order dark fringe, θ3 = 20.11° The wavelength of the…

Q: monochromatic light source passes through a diffraction grating (2999 nm spacings) and produces a…

Q: A monochromatic light of 626-nm wavelength shines on a single slit and forms a diffraction pattern…

Q: If parallel light falls on a single slit of width D at a28.0° angle to the normal, describe the…

A: Let D be the slits width . for diffraction pattern the equation for location of minima is Dsinθ=mλ…

Q: Using the equation for the distance between fringes, Ay = complete the following. X1 d x cm Screen…

Q: maximum of the diffraction pattern is measured to be at an angle of 32.0°. (a) What is the density…

Q: Two point sources (S1 and S2) emit light in phase with a wavelength of 600nm and the same amplitude.…

A: Penultimate Intensity- Penultimate intensity is a word that is formed by two different words,…

Q: third-order maximum

Q: A diffraction grating has 10 000 lines/cm. How many maxima can be produced by this grating when…

A: Given : A diffraction grating (width of grating) : 10,000 lines/cm Wavelength = 560 nm

Q: The figure shows the light intensity on a screen behind a double slit. The slit spacing is 0.220mm…

A: Given:The slit spacing,d=0.220mm=0.220×10-3 m The screen,D=2.20mFrom the figure,Distance between…

Q: White light is incident on a diffraction grating with 475 lines/ mm. (a) Calculate the angle 0,9 to…

A: (a)For maxima,

Q: laser beam with a wavelength of 540 nm is passed through single slit with width of 0.2 mm. Find…

Q: Use the first image for a and b and the second image for c and d. A screen is placed a distance R =…

A: Given:- A screen is placed a distance R = 10m away from a 2-slit setup Point P on the screen is a…

Q: A thin layer of oil (n=1.28) spills onto the surface of a nearby lake (water has n=1.33). It…

Q: the basic condition necessary for diffraction to be observed ? Explain. Obtain the expression that…

A: Diffraction of light is defined as the bending of light around corners such that it spreads out and…

Q: How does the diffraction pattern of a wave change when you: a) Change the slit width b) Change the…

A: Dear student, "Since you have posted a question with multiple sub-parts, we will solve first three…

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 double slit separated by 0.058 0 mm is placed 1.50 m from a screen. (a) If yellow light of…

A: Part A:

Q: Light of wavelength 500 nm is incident normally on a diffraction grating. The third-order maximum of…

Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

If the fourth-order maximum for pure-light falling on a double slit is at an angle of 20^o

What angle is the third-order maximum?
What angle is the third-order minimum?

Please explain with all math steps.

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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 rectangular slit is twice as wide as it is high. Is the central diffraction peak wider in the vertical direction or in the horizontal direction?
What are the angular positions of the first and second minima in a diffraction pattern produced by a slit of width 0.20 mm that is illuminated by 400 nm light? What is the angular width of the central peak?
A diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be for 520-nmwavelength green light?
The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600 nm, and the screen is 2.0 m from the slit. (a) What is the width of the slit? (b) Determine the ratio of the intensity at 4.5 mm from the center of the pattern to the intensity at the center.
Using the result of the preceding problem, (a) calculate the distance between fringes for 633-nm light falling on double slits separated by 0.0800 mm, located 3.00 m from a screen. (b) What would be the distance between fringes if the entire apparatus were submersed in water, whose index of refraction is 1.33?
What is the smallest separation between two slits that will produce a second-order maximum for 720-nm red light?
Determine the intensities of three interference peaks other than the central peak in the central maximum of the diffraction, if possible, when a light of wavelength 500 nm is incident normally on a double slit of width 1000 nm and separation 1500 nm. Use the intensity of the central spot to be 1mW/cm2 .
What is the highest-order maximum for 400-nm light falling on double slits separated by 25.0 m?
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 .
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?
In our study of diffraction by a single slit, we assume that the length of the slit is much larger than the width. What happens to the diffraction pattern if these two dimensions were comparable?
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?