You illuminate a slit with a width of 79.9 µm with a light of wavelength 725 nm and observe the resulting diffraction pattern on a screen that is situated 2.75 m from the slit. What is the width w, in centimeters, of the pattern's central maximum? w= cm

You illuminate a slit with a width of 79.9 µm with a light of wavelength 725 nm and observe the resulting diffraction pattern on a screen that is situated 2.75 m from the slit. What is the width w, in centimeters, of the pattern's central maximum? w= 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 27P: If the separation between the first and the second minima of a single-slit diffraction pattern is...

See similar textbooks

Related questions

Q: A rock with density 2100 kg/m3 is suspended from the lower end of a light string. When the rock is…

A: Given:The density of rock is .The tension in the string is .The density of liquid is .The expression…

Q: A thin rod of length (L) and mass (M) rotates about a vertical axis through its center with angular…

Q: (b) rope 59. A 15.0-lb block rests on a horizontal floor. (a) What over a pul- free-hanging 10.0-b…

A: Note that the 10lb block which is hanging from the string is insufficient to lift the 15 lb block.…

Q: 6. The graph to the right plots the current through a resistor as a function of time given that the…

Q: I need help in this question please

A: We know,Pressure in liquid,P = hdgWhere, h = depth of the liquid column d = density…

Q: A bicycle tire is spinning counterclockwise at 3.80 rad/s. During a time period At 1.95 s, the tire…

Q: A 2.80 kg grinding wheel is in the form of a solid cylinder of radius 0.100 m. (a) What torque will…

Q: Draw a schematic diagram of a core of fission reactor and explain its operational principles.

A: Draw a schematic diagram of a core of fission reactor and explain its operational principles.

Q: A transmission grating has 2500 lines/cm. Consider a beam of monochromatic light normal to the…

A: The number of rulings in the grating is The angle of the first order bright fringe is

Q: Part A - A cube of volume 3.0 ×10-3 m3 (3.0 L) is placed on a scale in air. The scale reads 267 N.…

A: Part (A):The volume of the cube is 3x10-3 m3.The weight of the cube is 267 N.

Q: 79 6. One of the many isotopes used in cancer treatment is 198 Au, with a half-life of 2.70 d.…

Q: An electron has a speed of 1.7E7 m/s. If an uncertainty 71 nm in its potition is acceptable, what is…

Q: A thin lens with a focal length of 6.00 cm is used as a simple magnifier. Part A What angular…

A: Given data:The focal length of the thin lens, f = 6.00 cm.The image distance from the eye, u = 25…

Q: A solid brass ball of mass 22 g and radius 8.51 mm rolls smoothly along a loop-the-loop track when…

A: Mass of the ball, Radius of the ball, Radius of the circular loop, Height from which the ball is…

Q: n the circuit shown in the figure the coil has an inductance L = 0.33 H and a resistance of 21 Ω .…

Q: d bahivot friction. Thise edt how amaldo19 snel. a mass M and a radius R. 56. A horizontal solid…

A: The mass of the disk is MThe radius of the disk is RMass of girl is mThe tangential direction…

Q: 12. Vectors A, B, and & have a length of 6 cm, 4 cm, and 2 cm, respectively, and they are oriented…

Q: Given the PV diagram of a fixed quanity of CO2 assumed to be an ideal gas. The temperature at point…

Q: Qno.16 The number of ultimate frequencies is equal to: a. Total number of positive frequencies b.…

A: The frequency of a wave or oscillation traveling in a positive direction is referred to as positive…

Q: (e) How does the speed of the object at point D change if the object at A, starts with a speed VA…

Q: A wheel with a radius of 12 cm rotates through 2.5 radians while accelerating from 1.2 rad/s to 6.2…

Q: a) Find the minimum height h in terms of R so that the cart passes through point A barely without…

Q: attached at the end of the string. 7 is the tension in the string and a is the acceleration of the…

Q: How did the wavelength change as the value of the paddle stop changed? Paddle Stop 4cm 6cm 8cm 10cm…

Q: Match the proper force description to each arrow in the diagram. Frictional forces acting on the…

Q: 7. The bones of a saber-toothed tiger are found to have an activity per gram of carbon that is 22.6%…

Q: 1. Consider the isosceles right-triangle with the congruent side = 1. Each acute angle is 45°.…

Q: Structures on a bird feather act like a diffraction grating having 7000 lines per centimeter. What…

A: See below

Q: A convertible with the top down is traveling north on a road at a speed of 21.0 m/s. A police car,…

A: So we have given

Q: Prior to landing at the airport, an airplane flies at a constant speed in a circular course with a…

Q: An electron and a proton are moving at a speed v as shown in the figure below. The electron is…

Q: refraction 1.47 encounters a medium with an index of refraction 1.18. Which of the following best…

Q: In the figure, four charges are on the corners of a square with side length a. If the charges are…

Q: which statements are true about Simple Harmonic Oscillator? Energy is conserved The amplitude of…

Q: One way to determine the location of your center of gravity is shown in the diagram. A 2.20-m-long…

A: Initially scale each read 100 N when we put plankNow when a student lies the A scale reads 406 N and…

Q: The following data were collected for the temperature and volume of a gas. Can this gas be described…

Q: Consider a very thin semi-circle of charge as shown, with radius of R. Explain with words and…

Q: You walk 20m 40 degrees south of west, then walk 12m 20 degrees east of south, how many degrees…

A: The objective of the question is to find the resultant displacement and its direction when two…

Q: A mass m tied to the end of a spring with a spring constant k completes one oscillation in time T…

Q: What is the sound transmission loss (in dB) of a wall whose transmission coefficient is 0.02? 28.45…

A: Page 1

Q: 43.5 liters of a gas at 496 kPa (gauge) pressure is compressed at constant temperature to a final…

Q: 4) Newer Christmas tree light strands are wired differently. Now, when one bulb burns out, a handful…

Q: A person 1.56 m tall swings their leg from the hip at 1.51 radians/s. Calculate the linear…

A: Height of the person, h = 1.56 mAngular speed, ω = 1.51 rad/sThe linear tangential velocity is…

Q: (1) The photo below shows a sealed “Ball” jar with vacuum inside. A suction cup is attached to the…

Q: Let B = 5.45 m at 60.0°. C and A have equal magnitudes. The direction angle of C is larger than…

Q: (d) What is the work done by the normal force? WN = X√ J (e) What is the total work done? Enter to 3…

Q: two other bigger children are going to push on the merry-go-round rim to bring it from rest to 45.0…

A: Mass of disk = M = 350kgRadius of disk R = 2.50/2 = 1.25mMass of each children m = 30 kg

Q: The indices of refraction for violet light (A = 400 nm) and red light (A = 700 nm) in diamond are…

Q: A resistor, capacitor, and switch are all connected in series to an ideal battery of constant…

A: The objective of the question is to determine the voltage across the resistor and the capacitor at…

Q: You live on a busy street, but as a music lover, you want to reduce the traffic noise. Part A If you…

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

100%

o You illuminate a slit with a width of 79.9 µm with a light of wavelength 725 nm and observe the resulting diffraction pattern on
a screen that is situated 2.75 m from the slit.
What is the width w, in centimeters, of the pattern's
o central maximum?
W =
cm

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: Given:

VIEW

Step 2: Calculate the width of the central maximum

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 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

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.
Light of wavelength 500 nm falls normally on 50 slits that are 2.5103 mm wide and spaced 5.0103 mm apart. How many interference fringes lie in the central peak of the diffraction pattern?
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?
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?
When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?
(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20.0 m. (b) What slit width would place this minimum at 85.0°?
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?
As an example of diffraction by apertures of everyday dimensions, consider a doorway of width 1.0 m. (a) What is the angular position of the first minimum in the diffraction pattern of 600-nm light? (b) Repeat this calculation for a musical note of frequency 440 Hz (A above middle C). Take the speed of sound to be 343 m/s.
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?
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.
A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?