Suppose the interference pattern shown in the figure below is produced by monochromatic light passing through a diffraction grating, that has 100 lines/mm, and onto a screen 1.75 m away. What is the wavelength of light if the distance between the dashed lines is 48.8 cm?

Suppose the interference pattern shown in the figure below is produced by monochromatic light passing through a diffraction grating, that has 100 lines/mm, and onto a screen 1.75 m away. What is the wavelength of light if the distance between the dashed lines is 48.8 cm?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 8CQ: Shown below is the central part of the interference pattern for a pure wavelength of red light...

See similar textbooks

Related questions

Q: In the double-slit arrangement of the figure below, d = 0.150 mm, L = 115 cm, λ = 643 nm, and y =…

A: in this question we use path difference equation for L>>>y .

Q: When we saw the double slit diffraction pattern as in the figure, it looked as if there were a…

A: Fringe width is given as,

Q: Suppose that the simulated light source was polychromatic, with both a red and a yellow component,…

A: Given situation : The light source is polychromatic A component present in the light is red and…

Q: If the slit width and screen distance constant then how does the light colour effects the fringe…

Q: For fun, a student constructs a four-slit interference experiment. If the light from each of the…

Q: What would you see in your viewing screen for double slit? Draw it

A: In Double slit experiment there would be regular pattern of bright and dark fringes.

Q: A piece of transparent material having an index of refraction n is cut into the shape of a wedge as…

A: The condition for constructive or bright fringe is

Q: At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm light…

A: order maximum relative to the central maximum , n=4 wavelength of incidence light, λ=400…

Q: Calculate the width the interference fringe in the middle of the screen between two slits given the…

Q: As shown the fringes observed in a doubleslit interference experimentwhen the two slits are…

A: For Red color light source Given:- Wavelength=700 nm D=0.85 m D=20×10-6 m m=1 To find The distance…

Q: In a double-slit experiment, the distance between slits is 0.50 mm, and the slits are 2.0 m from the…

Q: Explain how the demonstration and the result of thin films changes if you look at transmitted rays…

Q: The diagram below shows a double-slit interference in (a) and car headlights in (b). Would th…

A: For interference light sources must be coherent that is they should emit light waves of the same…

Q: In the figure 1 given below, b and c are filtered images of a. Identify the image that is low-pass…

A: Image resulting from the low pass and high pass filter is to be determined here.

Q: What is the distance, in meters, between adjacent fringes produced by a diffraction grating having…

A: The expression for find slit separation is N=1cmdd=1cmN Insert values in the above equation…

Q: Figure below shows interference pattern observed on a screen after green light passes through…

A: Step1: Overview The distance between two consecutive maxima or two consecutive minima is termed…

Q: Two coherent wave sources A and B are placed on a 24[m] pole standing perpendicular to the ground.…

Q: Suppose the interference pattern shown in the figure below is produced by monochromatic light…

Q: Consider the interference pattern in the diagram. (The crests are represented by thick lines and the…

A: Given: S1A = 49.5 cm S2A = 60.5 cm

Q: As in the previous question, the figure below shows how a double-slit interference pattern is…

A: The problem is based on young's double-slit experiment.to solve the problem at first we will define…

Q: Light of wavelength 4.8 × 10-7 m passes through a double-slit and produces an interference pattern…

A: wavelength (λ) = 4.8×10-7 m slit separation (d) = 2×10-6 m

Q: Calculate the width the interference fringe in the middle of the screen between two slits given the…

A: λ=562 nm=562×10−9 mD=1 md=0.017 mm=0.017×10−3 m

Q: In a double-slit experiment, the distance between slits is 0.5.0 mm and the slits are 2.0 m from the…

Q: You shine monochromatic light with wavelength 720 nm through a slit that has a width of 0.750 mm and…

Q: The first-order line caused by monochromatic light falling on a diffraction grating is observed at…

A: Given that the first-order line caused by monochromatic light falling on a diffraction grating is…

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

Q: Suppose the interference pattern shown in the figure is produced by monochromatic light passing…

Q: Keeping the slit width and screen distance constant, how does the light colour such as blue, red and…

Q: If the slits that create this pattern are 25 um apart and are located 0.85 m from the screen, what…

A: Slit width (d) = 25 μm Distance of screen (D) =0.85 m Wavelength of red color = 700 nm Wavelength of…

Q: Consider the interference pattern at the right. (The crests are represented by thick lines and the…

A: From the figure, it is clear that the point D is at exactly 6 full wavelength from s1.

Q: Discuss the two cases, constructive and destructive interferences, as a result of thin-film…

A: When two waves come close to one another, their effects add together. If the crests, or highest…

Q: Single-wavelength light shines through two narrow slits and forms a series of bright and dark…

A: let the slit width = d screen distance = D wavelength = λPoint P is in the middle of 2nd bright…

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

A: Young’s equation can be expressed as

Q: Consider the single-slit diffraction pattern created by each slit. How do these single slit patterns…

A: Interference and diffraction are the phenomenons that prove treat light as a wave. Diffraction is…

Q: A beam of 604 nm light passes through two closely spaced glass plates, as shown in Figure. For what…

Q: As shown is the interference pattern seen on a viewing screen behind 2 slits. Suppose the 2 slits…

A: As per guidelines, first three subparts have been answered. a. There will be…

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

Video Video

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

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

Suppose that the simulated light source was polychromatic, with both a red and a yellow component, as shown on the right. How easy would it be to identify the positions (yP ) of the separate red and yellow interference maxima? Can you think of a change in the appearance of the interference pattern of each individual wavelength that, were it to happen, would help to distinguish the red from the yellow peaks?
Please show formula and units For the figure shown below, let R = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500 nm light. The first bright fringe (m = 1) happens at point P. Calculate the phase difference (ϕ) between the two wave fronts arriving to point P in radians when: a) θ = 0.500⸰ b) y = 5.00 mm. The value of θ in part b is not the same as the value of θ from part a. However, you may assume that θ in part b is small.
Consider the interference pattern in the diagram. (The crests are represented by thick lines and the troughs by thin lines.) If the distance from S1 to point A is 49.5 cm and the distance from S2 to point A is 60.5 cm, then what is the wavelength?
You just won a brand new laser pen and you want to know the wavelength of the light, so you set up Young’s double-slit experiment and observe the interference pattern on screen 1.2 meters away from the slits. The slits are 0.25 mm apart and you measure the distance between the centers of the first dark fringes on either side of the central maximum to be 3 mm. What is the wavelength of your new laser? If visible, what color should it appear, if not visible state the region of the EM spectrum? Hint: Draw a picture.
Consider the interference pattern at the right. (The crests are represented by thick lines and the troughs by thin lines.) The distance from S1 to point D is 47.2 cm. What is the wavelength? What is the distance from S2 to point D?
In a double slit experiment, the distance between the slits is 0.2 mm and the distance to the screen is 100 cm. What is the phase difference (in degrees) between the waves from the two slits arriving at a point 5 mm from the central maximum when the wavelength is 400 nm? (Convert your result so the angle is between 0 and 360°.)
Consider the sodium doublet vapor lines, which have wavelengths of 589 nm (line a) and 589.6 nm (line b). (a) Find the angle (in degrees) between the first minima for the two sodium vapor lines, when they fall upon a single slit with a width of 1.8 μm. (b) What is the distance in mm between these minima if the diffraction pattern falls on a screen 1.05 m from the slit?
At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm light is incident normally on two slits separated by 0.025 mm? Also, At what angle do you observe the 3rd order minimum? Set-up is the same as above and with a slit separation of 0.025 mm. Make sure to answer both parts of the question. Show all work.
Discuss the two cases, constructive and destructive interferences, as a result of thin-film interference. (Provide figure/s to support your statement.)
A double slit interference patern is observd on a screen 1.0. behind two slits spaced 0.30mm apart. Ten bright frindges span adistance of 1.7cm. What is the wavelength of the llight? Please show full work, for a beginner physics student.. Thank you!
A piece of transparent material having an index of refraction n is cut into the shape of a wedge as shown in Figure 3. The angle of the wedge is small. Monochromatic light of wavelength λ is normally incident from above and viewed from above. Let h represent the height of the wedge and ℓ its width. Show that bright fringes occur at the positions x = λℓ(m + ½)/2hn and dark fringes occur at the positions x = λℓm/2hn, where m = 0, 1, 2, . . . and x is measured as shown.
When the width of the slit is made double, how would this effect the size and intensity of the central diffraction band? Justify your answer with the help of diagram.