"Constructive interference fringes from a bright blue laser (wavelength 425 nm) shining onto a diffraction grating are displayed on a screen. The 4th bright fringe from the center has spread from the grating at a 30 degree angle. How many nanometers (nm) are between the slits on the grating?" QUESTION: in the quoted problem, which symbol in the equation is represented by the given number 30 degree? d(sin0) = mλ Od (distance from a slit to the neighboring slit) A (wavelength of the light) m (integer that identifies the fringe) e (angle at which the fringe forms on the screen)

"Constructive interference fringes from a bright blue laser (wavelength 425 nm) shining onto a diffraction grating are displayed on a screen. The 4th bright fringe from the center has spread from the grating at a 30 degree angle. How many nanometers (nm) are between the slits on the grating?" QUESTION: in the quoted problem, which symbol in the equation is represented by the given number 30 degree? d(sin0) = mλ Od (distance from a slit to the neighboring slit) A (wavelength of the light) m (integer that identifies the fringe) e (angle at which the fringe forms on the screen)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: In a double-slit interference experiment, the wavelength is λ = 502 nm, the slit separation is d =…

A: We have givenIn a double‑slit interference experiment, The wavelength is the slit separation is the…

Q: A diffraction grating has 2645 lines per centimeter, and it produces a principal maximum at = 28.4°.…

A: Grating hs 2645 lines per centimeterprinciple maximum angle =28.40wavelength for which light used…

Q: In a double-slit interference experiment, the wavelength is λ = 582 nm, the slit separation is d =…

Q: In a double‑slit interference experiment, the wavelength is λ=392 nm , the slit separation is…

Q: Two slits are separated by 0.3 mm and produce an interference pattern. The fourth minimum is 13.2 cm…

A: In this problem, we are given the separation between the two slits (d), the position of the fourth…

Q: In a Young's interference experiment, the two slits are separated by 0.145 mm and the incident light…

Q: A barrier contains 14 slits separated by 150.μm 150. μ m . The slits are illuminated by a…

A: Given, total number of slits is n=14 And they are separated by 150μm So separation between two…

Q: ght from coherent monochromatic light source with a wavelength of 5.50 x 10² nm is incident on (and…

Q: In a double slit interference experiment, light used is 450nm wavelength, double slit separation is…

A: Given: Wavelength of light (λ) = 450 nm. Slit separation (d) = 0.05 mm. Distance between screen and…

Q: Two parallel slits are illuminated with monochromatic light of wavelength 576 nm. An interference…

Q: In an interference experiment using a monochromatic source emitting light of wavelength 2, the…

A: Write the expression for the fringe width. Here, m is the order, λ is the wavelength, D is the…

Q: In an interference experiment using a monochromatic source emitting light of wavelength 1, the…

Q: Which of the following bodies has the largest kinetic energy? Select one: a. Mass 2M and speed 3V b.…

Q: A screen is placed a distance L from a single slit of S width a, which is illuminated with light…

A: For first case,

Q: A diffraction grating is made up of slits of width a with separation d. The grating is illuminated…

Q: In a double‑slit interference experiment, the wavelength is ?=587 nm , the slit separation is…

A: Given In a double‑slit interference experiment, the wavelength is λ=587 nm The slit separation is…

Q: In a two-slit interference experiment the distance between the slits is 0.370 mm and the angle of…

A: Given,distance between slit d=0.370mmm=4θ=0.407

Q: Light of wavelength 0.42 um passed through two slits separated by distance d=4.7 µm and creates an…

A: In an interference experiment, if the distance between two slits in a vertical plane is d and the…

Q: An L = 51.0 cm wire is moving to the right at a speed of U = 7.50 m/s across two parallel wire rails…

Q: In an interference experiment using a monochromatic source emitting light of wavelength A = 600 nm,…

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

Q: When laser light is passed through two narrow slits separated by 143 µm, an interference pattern is…

Q: Light of wavelength 516 nm passes through a slit 7.00 x 10-6 m wide and falls on a screen that is…

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

Q: Light consisting of two wavelengths (1 633nm and A2 = 582 nm) is incident on a variable-width double…

Q: 6. Go mmh Two parallel slits are illuminated by light composed of two wavelengths. One wavelength is…

Q: In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light…

Q: Light at 594 nm from a helium-neon laser shines on a pair of parallel slits separated by 1.43 x 10-5…

Q: When blue light of wavelength 470 nm falls on a single slit, the first dark bands on either side of…

A: Blue light falls on single slit. Wavelength of light λ=470nm Angle for first dark band θ=51°2=25.5°…

Q: In a double-slit interference experiment, the wavelength is å = 692 nm, the slit separation is d =…

Q: A double-slit interference pattern is observed on a screen with the intensity graph. Points A, B, C,…

A: Given:The wavelength of the green light is, In the figure, we have to calculate the path difference…

Q: A helium-neon laser (λ = 632.8 nm) is used to calibrate a diffraction grating. If the first-order…

A: The condition for mth order maxima in a diffraction grating is dsinθm=mλ Where d is the separation…

Q: In a Young's double-slit experiment, a set of parallel slits with a separation of 0.112 mm is…

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

"Constructive interference fringes from a bright blue laser (wavelength 425 nm)
shining onto a diffraction grating are displayed on a screen. The 4th bright
fringe from the center has spread from the grating at a 30 degree angle. How
many nanometers (nm) are between the slits on the grating?" QUESTION: in the
quoted problem, which symbol in the equation is represented by the given
number 30 degree?
d(sin0) = mλ
Od (distance from a slit to the neighboring slit)
A (wavelength of the light)
m (integer that identifies the fringe)
e (angle at which the fringe forms on the screen)

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 3 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 double slit is illuminated by a monochromatic light. An interference pattern is observed on a screen with fine lines grouped in broad bands (see diagram below). The second series of fringes is centered at a distance zo=2.7 mm from the center of the screen. The distance between slits and screen is D=2m, the slits width is d=0.07mm and the slit separation is 0.5mm. (a) What is the wavelength of the light? What color is it? Is the small angle approximation valid? (b) How many full fringes are observed in the second band? (do not count them on the schematic diagram!) Viewing screen Zo ន
In an interference experiment using a monochromatic source emitting light of wavelength A = 600 nm, the fringes are produced by two long, narrow slits separated by a distanced mm. The fringes are formed on a screen which is situated at a distance 7.4 m from the slits. Determine d, if the fringe width w = 6 mm. Give you answer in millimetres.
In a double-slit experiment, monochromatic light of wavelength 506. nm is incident on identical parallel slits of width 0.410 mm and separated by a distance of 0.550 mm. The interference pattern is observed on a screen 2.26 m from the slits. The intensity at the center of the central maximum is 7.36 mW/m². What is the intensity (in mW/m²) at a point on the screen that is 0.810 mm from the center of the central maximum? i mW/m²
The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm (red) and 486 nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 460 lines/mm , and the light is observed on a screen 1.5 m behind the grating. What is the distance between the first-order red and blue fringes? Express your answer to two significant figures and include the appropriate units.
An instructor directs monochromatic light toward a single slit in an opaque barrier. The light has a wavelength of 550 nm and the slit is 0.225 mm wide. The light that passes through the slit creates a diffraction pattern on a screen, which is 1.20 m from the slit. (a) How wide (in mm) is the central maximum (the central, bright fringe), as measured on the screen? mm (b) How wide (in mm) is either of the two first-order bright fringes, as measured on the screen? mm
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.108 mm is illuminated by light having a wavelength of 584 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a third order bright fringe on the screen? answer in ?m (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern? answer in ?m
Monochromatic light (wavelength = 455 nm) is incident perpendicularly on a single slit (width = 0.56 mm). A screen is placed parallel to the slit plane, and on it the distance between the two minima on either side of the central maximum is 2.1 mm. (a) What is the distance from the slit to the screen? (Hint: The angle to either minimum is small enough that sin ≈ tan 9.) (b) What is the distance on the screen between the first minimum and the third minimum on the same side of the central maximum? (a) Number 120 (b) Number i 1.8 Units Units cm mm
In an interference experiment using a monochromatic source emitting light of wavelength 1, the fringes are produced by two long, narrow slits separated by a distance d. The fringes are formed on a screen which is situated at a distance D >> d.Write down an expression for the fringe width w. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for 1 in the equation box. For example, use d*lambda for d2. Please use the "Display response" button to check you entered the answer you expect. w=
You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (15.8 ± 0.2) cm, x2 = (6.7 ± 0.1) cm, and x3 = (11.3 ± 0.1). What is the uncertainty of the total distance x1 + x2 + x3? Group of answer choices 0.4 cm 0.5 cm 0.2 cm 0.3 cm 0.1 cm
Problem 3: When laser light is passed through two narrow slits separated by 148 µm, an interference pattern is observed on a screen 1.67 m away. The distance between the central spot and the first-order constructive interference is found to be 5.3 mm. λ = Part (a) Find the wavelength of the laser light, in nanometers. || sin() cotan() atan() cosh() cos() asin() acotan() tanh() O Degrees Submit tan() acos() E ^^^ sinh() cotanh() Radians Hint () 7 BE * Feedback ∞52 63 1 8 9 4 5 + 0 END Vo BACKSPACE DEL CLEAR HOME I give up! Part (b) At what angle, in degrees, from the central spot is the second-order constructive interference formed?
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.106 mm is illuminated by light having a wavelength of 587 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a fifth order bright fringe on the screen? 2.935 um (b) What is the difference in path lengths from the two slits to the location of the fifth dark fringe on the screen, away from the center of the pattern? 3.228e-6 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. um Need Help? Read It