The light shining on a diffraction grating has a wavelength of 474 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 8.19°. How many lines per centimeter does the grating have? Number i Units

The light shining on a diffraction grating has a wavelength of 474 nm (in vacuum). The grating produces a second-order bright fringe whose position is defined by an angle of 8.19°. How many lines per centimeter does the grating have? Number i Units

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 7OQ: A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit...

See similar textbooks

Related questions

Q: A wave on a string is described by D (z, t) = (2.2 cm) x sin (2x (z/ (8.4 m) + t/ (0.20 s) + 1)].…

Q: A‭ ‬heat‭ ‬pump‭ ‬has‭ ‬a‭ ‬coefficient‭ ‬of‭ ‬performance‭ ‬3.0‭.‭ ‬How‭ ‬much‭ ‬heat‭ ‬is‭…

A: Coefficient of performance of heat pump, COP = 3.0 Heat removed from the cold reservoir, Qc = 300…

Q: 8. How many (whole) dark fringes will be produced on an infinitely large screen if green light (A =…

Q: A 20 μF capacitor has an initial charge of 60 µC while a 10 µF capacitor has an initial charge of 40…

Q: Two blocks are connected to a rope, and the rope is hung over a pulley connected to the ceiling, as…

Q: The diagram above shows a force acting at an angle on the end of a bar. The force has a magnitude of…

Q: What is the direction of the torque for each of the following situations? right is in the…

A: right is in the positive x-directionleft is in the negative x-directionup is in the positive…

Q: Suppose that a 1800 kg car passes over a bump in a roadway that follows the arc of a circle of…

Q: The Sun orbits the center of the Milky Way galaxy once each 2.60 × 108 years, with a roughly…

Q: Two long parallel wires that are 0.30 m apart carry currents of 5.0 A and 8.0 A in the opposite…

A: Given data:Two parallel wiresDistance between wires (d) = 0.30 mCurrents are in opposite directionI1…

Q: 1. For exercise, an athlete lifts a barbell that weighs 400 N from the ground to a height of 2.20 m…

Q: The following graph shows the velocity of an object in one dimension over time. 5;s 10 S 15 s 20 25…

A: We need to find acceleration at t=5, 12.5, 25 second.

Q: The radius of curvature of a spherical convex miror is 20 cm. 1) Describe the image formed when a…

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

Q: The length of an aluminum pendulum in a certain clock is 0.2480 m on a day when the temperature is…

Q: Problem 8 3-13. A bar having a length of 5 in. and cross-sectional area of 0.7 in² is subjected to…

A: The length of the bar is .The cross section area of the bar is The axial force acting on the bar is…

Q: A gas mixture contains 3.0 moles of (O2) and 9.0 moles of Argon (Ar) at a temperature of 300.0 K.…

Q: these are all wrong

Q: The figure shows an overhead view of a disk rotating at constant angular acceleration, like a…

Q: A 40-lb box slides from rest down the smooth ramp onto the surface of a 20-lb cart shown in (Figure…

Q: A 35.0 kg mass hangs from a steel wire. The unloaded length of the wire is 3.05 m and it has a…

A: Mass hanging from steel wire, Initial length of an steel wire,…

Q: Bulb A, B, C are 60W lightbulbs. Bulb D is 100 W lightbulb. If lightbulb C is broken, rank the order…

A: Power of bulb A and B = 60Watt Lightbulb C is broken.

Q: An object is placed 7.7 cm in front of a concave mirror of radius of curvature 10-cm. 1)…

A: Object is placed at a distance in front of concave mirror.Radius of curvature is Find:(1) Image…

Q: A horizontal spring with spring constant 210 N/m is compressed by 15 cm and then used to launch a…

Q: 10-cm-tall object is located in front of a diverging lens with a power of -5 diopters. 1) Calculate…

A: The distance to the left of the lens is taken as negative.The distance to the right of the lens is…

Q: A candle is placed at a fixed distance D from a screen. A converging lens can be put between the…

A: Given thatD = 87 cmdistance of candle from lens is x

Q: The index of refraction for violet light in sillica flint glass is 1.66 and that for red light is…

A: GivenThe apex angle of the prism, The angle of incidence on the prism, The refractive index for…

Q: One object is at rest, and another is moving. The two collide in a one-dimensional, completely…

Q: To review whether your calculations are reasonable, we'll analyze a similar situation to the one…

A: From part b, the coefficient of kinetic friction is found as:where, is the distance travelled down…

Q: In an electron microscope, there is an electron gun that contains two charged metallic plates 3.00…

A: Acceleration is defined as rate of change of velocity with respect to time. So, it can be written as…

Q: By jogging, a girl is converting food energy into internal energy at the rate of 399 kcal/h above…

A: The heat of the evaporation of fat is Qe = 399 kcal/h = 399 x 1.163 W = 464.037 W.The energy by work…

Q: A 200‑turn circular coil of radius 5.00 cm with negligible resistance is immersed in a uniform…

A: Given,Number of turns The radius of the coil The resistance of the resistor The time interval…

Q: Consider light that has its third minimum at an angle of 21.5° when it falls on a single slit of…

Q: Straight and triangle wires. In the figure below, a long straight wire lies in the same plane as an…

Q: A 2.0 kg mass is suspended by two strings as shown below. Solve for the tension of each string (T1…

Q: 4. (Chapter 22, Problem #25) 25. MA rectangular coil consists of N= 100 closely wrapped turns and…

A: Number of turns = 100 Area of the rectangle = a × b = 0.4 × 0.3…

Q: 1. A cylinder (mass M, radius R) is wrapped by a rigid light string. One end of the string is fixed…

Q: Two plane mirrors are at right angles to each other as shown by the side view in Figure P22.10. A…

A: The objective of the question is to demonstrate that when a light ray is incident on two plane…

Q: A 2.8kg box is attached to a spring with a spring constant of 11.5N/m. The box is on a frictionless…

A: Mass, m = 2.8 kgForce constant, k = 11.5 N/mPeriod, T = ?

Q: What is the root-mean-square speed, in units of m/sec, of monatomic He atoms at a temperature of…

Q: A coin is 12 cm in front of a converging lens with focal length of magnitude 4.0 cm. Where is the…

A: Object distance from lens, u = -12 cm (Negative sign is due to sign convention)focal length of lens,…

Q: 8. A 5-kg object moves with a velocity of 10-m/s to the right while an 8-kg object moves with a…

A: Mass of object 1 is Initial velocity of object 1 is towards right.Mass of object 2 is Initial…

Q: In the figure, a double-glazed window consists of two identical panes of glass (ng = 1.40), each yg…

Q: A string is wrapped around a disk of mass m = 2.4 kg and radius R = 0.12 m. Starting from rest, you…

Q: Part A T 400 mm 300 mm B A DO MAB= 0.3 PA = 0.1 P Using the coefficients of static friction…

A: Width of the block B is The height of block B is The coefficient of static friction between blocks A…

Q: Material MM a- If the critical angle for total internal reflection is c, what is n? b- For a light…

Q: What is the final temperature when 2.50 x 10⁵ J are added to 0.950 kg of ice at 0.0°C? (A) 0.0°C,…

A: Given data:Heat added, Q = 2.50 x 105 J Mass of ice, m = 0.950 kg Initial temperature, T1 = 0o CWhen…

Q: 6. How far apart are two rocks on the moon that can be resolved by a telescope on the earth, whose…

Q: Consider a reflecting ball (radius = R) for which an object at distance d from the surface has an…

A: Object distance is The size of image is ; here represents size of image and represents size of…

Q: (1) An incandescent light bulb produces 5.85 Joules of light energy each second. This bulb is 7.80%…

Q: Kyle lays a mirror flat on the floor and aims a laser at the mirror. the laser beam reflects off the…

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

The light shining on a diffraction grating has a wavelength of 474 nm (in vacuum). The grating produces a second-order bright fringe
whose position is defined by an angle of 8.19°. How many lines per centimeter does the grating have?
Number i
eTextbook and Media
Units

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: Determine the given variables

VIEW

Step 2: Calculating the numbers of line per centimetre

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 4 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

A beam of monochromatic green light is diffracted by a slit of width 0.550 mm. The diffraction pattern forms on a wall 2.06 m beyond the slit. The distance between the positions of zero intensity on both sides of the central bright fringe is 4.10 mm. Calculate the wavelength of the light.
Monochromatic light is incident on a pair of slits that are separated by 0.200 mm. The screen is 2.50 m away from the slits. a. If the distance between the central bright fringe and either of the adjacent bright fringes is 1.67 cm, find the wavelength of the incident light. b. At what angle does the next set of bright fringes appear?
Suppose Youngs double-slit experiment is performed in air using red light and then the apparatus is immersed in water. What happens to the interference pattern on the screen? (a) It disappears. (b) The bright and dark fringes stay in the same locations, but the contrast is reduced. (c) The bright fringes are closer together. (d) The bright fringes are farther apart. (e) No change happens in the interference pattern.
What is the distance between lines on a diffraction grating that produces a second-order maximum for 760-nm red light at an angle of 60.0°?
Two slits 4.0106 m apart are illuminated by light of wavelength 600 nm. What is the highest order fringe in the interference pattern?
Ultraviolet light of wavelength 350 nm is incident on a diffraction grating with slit spacing d and forms an interference pattern on a screen a distance L away. The angular positions bright of the interference maxima are large. The locations of the bright fringes are marked on the screen. Now red light of wavelength 700 nm is used with a diffraction grating to form another diffraction pattern on the screen. Will the bright fringes of this pattern be located at the marks on the screen if (a) the screen is moved to a distance 2L from the grating, (b) the screen is moved to a distance L/2 from the grating, (c) the grating is replaced with one of slit spacing 2d, (d) the grating is replaced with one of slit spacing d/2, or (e) nothing is changed?
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?
A wide beam of laser light with a wavelength of 632.8 nm is directed through several narrow parallel slits, separated by 1.20 mm, and falls on a sheet of photographic film 1.40 m away. The exposure time is chosen so that the film stays unexposed everywhere except at the central region of each bright fringe. (a) Find the distance between these interference maxima. The film is printed as a transparency; it is opaque everywhere except at the exposed lines. Next, the same beam of laser light is directed through the transparency and allowed to fall on a screen 1.40 m beyond. (b) Argue that several narrow, parallel, bright regions, separated by 1.20 mm, appear on the screen as real images of the original slits. (A similar train of thought, at a soccer game, led Dennis Gabor to invent holography.)
A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 rad
An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?
What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.
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.