A beam of monochromatic light is diffracted by a slit of width 0.620 mm. The diffraction pattern forms on a wall 1.30 m beyond the slit. The width of the central maximum is 1.80 mm. Calculate the wavelength of the light in nm. 1 nm = 10-⁹ m

A beam of monochromatic light is diffracted by a slit of width 0.620 mm. The diffraction pattern forms on a wall 1.30 m beyond the slit. The width of the central maximum is 1.80 mm. Calculate the wavelength of the light in nm. 1 nm = 10-⁹ m

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 68AP: An intensity minimum is found for 450 nm light transmitted through a transparent film (n=1.20) in...

See similar textbooks

Related questions

Q: A vehicle starts from rest and moves with a constant acceleration 5,7 m/s² until it attains the…

A: See below

Q: A ball 600[g] ball is thrown to a horizontal surface. Right before colliding with the surface, the…

A: Mass of ball: m = 600 g = 0.6 kg Initial velocity of ball: u = 45 m/s Ball's velocity angle from the…

Q: Calculate the length of the wall if the rate of heat transfer through the wall is known to be 1800…

A: To calculate the length of the wall, we can use Fourier's Law of heat conduction: q = -kA(dTdx)…

Q: 20. Consider a long straight wire carrying I = 0.52 A upward. What is the direction of the magnetic…

Q: 4) Activity 5: Check for Understanding (5 mins) Student Engagement (SE) Effective Questioning 10007…

A: The gravitational potential energy mainly depends on the vertical height from the ground when the…

Q: Two-lens systems. In the figure, stick figure O (the object) stands on the common central axis of…

A: Given : Object distance, u=p1=+4 cm Focal length of the lens-1, f1=12 cm Distance between the…

Q: Deep water research is conducted from a spherical vessel with a radius and mass respectively of 1.48…

A: See below

Q: A block attached to a horizontal spring that has a spring constant of 18 N/m oscillates between x =…

A: Given Spring constant is k=18 N/m Amplitude is A=0.68 m

Q: RF Electromagnetics: . If an x-component of the E-field varies as a sine function, and y-field…

Q: all the resistors have a value tılı 12, ww BAT1 Pio www of R3 WW R4 Ps ww ww ww ww да 88

Q: In a Young's double-slit experiment the separation distance y between the second-order bright fringe…

A: Solution: Given: y1 = distance between 2nd order maxima and central maxima in first case = 0.0169 m…

Q: If a lamp is measured to have a resistance of 45 Ω when it operates at a power of 80 W, what is the…

Q: *** If doing C22 only: Find the voltage at each unique point in the circuit below, given the…

A: 1) Current through 1 ohm resistor is 0.37A 2) Current through 2 ohm resistor is 1.45A 3) Current…

Q: ] 21. This loop of wire carries a current counterclockwise as seen from above. What is the direction…

Q: The uniform 5-m-long wooden rod in the figure is tied to the bottom by a string. Determine (a) the…

Q: A battery with E = 3.00 V and no internal resistance supplies current to the circuit shown in the…

Q: 24.3 Potential Due to a Charged Particle In the figure, particle 1 of charge q₁ = 3.00 nC and…

Q: Suppose that the velocity v() (in m/s) of a sky diver falling near the Earth's surface is given by…

A: Velocity of a sky diver is given by the following function v(t) = 49(1 - e-0.19t)

Q: A spaceship travels at a constant speed from earth to a planet orbiting another star. When the…

A: Time taken by the spaceship to reach the planet as measured by an observer on earth ( t ) = 14 y…

Q: 1.2-kg mass is projected from ground level with a velocity of 30 m/s at some unknown angle above the…

Q: 4. (a) An object that is 0.03 m tall is placed at 0.1 m in front of a convex mirror, as shown in…

Q: At what distance will a 65 W lightbulb have the same apparent brightness as a 130 W bulb viewed from…

Q: What devices would be required to convert the following electrical supplies on an aircraft? 1.…

A: 1 . A power inverter , converts 20V DC to 115/200V three phase AC

Q: How do I construct a new table of values

A: for a simple pendulumformula for time period isT=2πLgwhere L is length of pendulumg is acceleration…

Q: Three long, parallel conductors each carry a current of I = 2.22 A. The figure below is an end view…

A: = (4π x 10-7 T.m/A)(2.22 A)2π.2 (0.55 x 102 m)22cos 45°+13 =4.363 x 10-5 T = 0.437 μT Therefore,…

Q: The image behind a convex mirror (radius of curvature = 79.0 cm) is located 27.0 cm from the mirror.…

A: As we know that the mirror equation can be written as 1f=1v+1u Here f is the focal length of the…

Q: A square bobbin has 50 turns of wire. It is placed in a magnetic field such that the normal to the…

Q: A 3-legged stool weighing 4.5-kg supports an 89-kg person. each leg of stool has a cross-sectional…

A: Solution: Given: m1 = mass of stool = 4.5 kg m2 = mass of person = 89 kg n = number of legs = 3 d =…

Q: The distance from earth to the center of our galaxy is about 24,000 ly (1 ly = 1 light year = 9.47 x…

A: 1ly = 1 light year = 9.47 x 1015 m 1 year = 3.16 x 107 s Distance between earth and center of galaxy…

Q: A bullet of mass 4.1 g strikes a ballistic pendulum of mass 2.3 kg. The center of mass of the…

Q: You attach an object to the bottom end of a hanging vertical spring. It hangs at rest after…

Q: A 2 m long stretched rope is fixed at both ends. What are the first 3 wavelengths that are produced…

A: The length of the rope is given as L=2 m

Q: What is the minimun amount of energy that will raise an electron from the ground state to the n=4…

A: See below

Q: For a converging lens, the object lies 12cm from the lens and the image is 39cm from the lens on the…

Q: A block and tackle system has two blocks and each block has 6 pulleys. If a downward effort of 260N…

Q: Light is incident from air onto the surface of a liquid. The angle of incidence is 47.0°, and the…

Q: Problem 6: A chunk of clay of mass m₁ = 0.39 kg is thrown in the x direction with an initial…

Q: How far apart (in mm) must two point charges of 65.0 nC (typical of static electricity) be to have a…

A: Two charges as q1=65 nC and q2=65 nC Force between charges is F=3.80 N Note: 1 C=109 nC 1 m=1000 mm…

Q: Determine the equivalent resistance if R1 = 500 ohms and R3 parallel with each other, followed by R2…

A: Resistors R1=500 Ω and R3=1400 Ω are connected in parallel with each other. The parallel combination…

Q: In solid helium the spacing between atoms is about 3Å . Helium contains 2 protons and 2 neutrons, so…

Q: A heat engine runs with an efficiency of 0.14 by burning fuel at 304 deg C. Find the temperature of…

A: Efficiency of the heat engine, e=0.14 Temperature of hot reservoir, TH=304oC=(304+273.15)K=577.15K

Q: If two point charges are separated by 1.5 cm and have charge values of 2 uC and -4 uC, what is the…

Q: Two strings A and B are given. The length of A is twice that of B. The total mass of A is one-third…

A: Given that, length LA=2LB Mass mA=13mB Tension TA=12TB Frequency of string A : fA==400 Hz

Q: Two identical speakers are 3.70 m and 5.20 m from a listener. What is the lowest frequency (n = 1)…

A: Distance of speaker from listener 3.7 m and 5.2 m

Q: the solenoid's inductance (in H) H (b) the average emf around the solenoid (in V)

Q: A conducting loop with area 0.19 m2 and resistance 7.0 Ω lies in the x-y plane. A spatially uniform…

Q: Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure…

A: Pressure at lower point P1= 1.70*105 pa Pressure at upper point P2= 1.25*105 pa Hieght y= 2.50 m…

Q: Given two vectors A = 4.30i+6.80 and B = 5.00 - 2.003, find the scalar product of the two vectors A…

Q: When viewed in a spherical mirror, the image of a setting sun is a virtual image. The image lies 11…

Q: A block is in SHM on the end of a spring, with position given by x = xmcos(wt+ p). If p=0.367 rad,…

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

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: given and asked data

VIEW

Step 2: calculation of wavelength

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 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 light is incident on a single slit of width 0.630 mm. A diffraction pattern forms on a wall 1.35 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.10 mm. Calculate the wavelength of the light. .049 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nm
X rays of wavelength 0.0820 nm are scattered from the atoms of a crystal. The second-order maximum in the Bragg reflection occurs when the angle is 20.5°. (Figure 1) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of X-ray diffraction. Part A What is the spacing between adjacent atomic planes in the crystal? Express your answer in nanometers. ΓΙ ΑΣΦ d = Submit Previous Answers Request Answer ? nm
1. O -12 points SerPSE9 38.P.001.MI.FB. My Notes O Ask Your Teacher Light of wavelength 588.0 nm illuminates a slit of width 0.80 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.89 mm from the central maximum? m (b) Calculate the width of the central maximum. mm Need Help? Read It Master It 2. O -11 points SerPSE9 38.P.005. My Notes + Ask Your Teacher Coherent microwaves of wavelength 5.00 cm enter a tall, narrow window in a building otherwise essentially opaque to the microwaves. If the window is 45.0 cm wide, what is the distance from the central maximum to the first-order minimum along a wall 6.50 m from the window? cm Need Help? Read It 3. -/1 points SerPSE9 38.P.007.MI.FB. My Notes Ask Your Teacher A screen is placed 60.0 cm from a single slit, which is illuminated with light of wavelength 690 nm. If the distance between the first and third minima in the diffraction pattern is 3.10 mm, what is the width of…
What happens to the diffraction patters when the following are changed? Thoroughly describe each. a. The width of a single slit, w b. The width w and separation d of double slit c. The number of multiple slits N d. The distance from the slit plate to the sensor L e. The experimental y value collected from your data.
There are two categories of ultraviolet light. Ultraviolet A (UVA) has a wavelength ranging from 320 nm to 400 nm. It is necessary for the production of vitamin D. UVB, with a wavelength in vacuum between 280 nm and 320 nm, is more dangerous because it is much more likely to cause skin cancer. Part A Find the frequency range of UVA. Enter the minimum and maximum values of the range. Enter your answers in hertz separated by a comma. 15| ΑΣΦ fmin, fmax = Submit Part B fmin. fmax = Submit Find the frequency range of UVB. Enter the minimum and maximum values of the range. Enter your answers in hertz separated by a comma. 195| ΑΣΦ Part C kmin, Kmax = Request Answer Part D Request Answer Submit Request Answer ? Kmin, kmax= What is the range of the wave numbers for UVA? Enter the minimum and maximum values of the range. Enter your answers in radians per meter separated by a comma. 17| ΑΣΦ ? Hz ? Hz ? What is the range of the wave numbers for UVB? Enter the minimum and maximum values of the…
Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.3 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0692 nm. 0₁ 02
In the figure, two radio-frequency point sources S1 and S2, separated by distance d = 2.4 m, are radiating in phase with A = 0.6 m. A detector moves in a large circular path around the two sources in a plane containing them. How many maxima does it detect? Number i Units
The thickness of a human hair was measured using diffraction. A green laser (λ = 532 nm) was used and the viewing screen was placed 1 m away from the slit plate. The table below shows the data gathered for m = ±1. Trial 2y (cm) 1 2.09 2 2.03 3 2.01 4 2.05 5 2.07 a. How is the wave nature of light demonstrated in the experiment? b. How do you calculate 0? Explain. C. How thick is the human hair strand used in the experiment?
In a Young's double-slit experiment, 550-nm-wavelength light is sent through the slits. The intensity at an angle of 2.00⁰ from the central bright fringe is 84% of the maximum intensity on the screen. What is the spacing between the slits? 1.18e-6 x Your response differs from the correct answer by more than 10%. Double check your calculations. m
Problem 2 For wavelengths in the visible spectrum, the index of refraction of a cer- tain type of crown glass can be approximated by the relation n(1) = 1.5255 + (4825 nm²)/a². b. Find the phase velocity, in this glass, for a pulse with frequency com- ponents centered around 500 nm. c. Find the group velocity, in this glass, for a pulse with frequency com- ponents centered around 500 nm.
Which of the following best explains the reason for taking three measurements at each light intensity instead of a single measurement? Select one or more: a. By taking three measurements at each light intensity, the investigator could identify any result that was not expected and repeat the measurements until the expected result was obtained. b. By taking three measurements at each light intensity, the investigator could eliminate any result that did not support the hypothesis. c. By taking three measurements at each light intensity, the investigator could be more confident in the accuracy of the measurements than if the measurement had been made only once.
c) Figure Q3 (c) shows the X-ray diffraction patterns of Aluminum powder by CuK- radiation. i. Sketch the (311) plane in cubic structure using miller indices solution. ii. Calculate the planar spacing, d hkl and angle, 0 hkl for (311) peak if the lattice constant, a is 0.404 nm and I is 0.1542 nm. Note that the diffraction condition is 2dhkl sin 0 = n]. iii. Determine whether the crystal structure of Aluminum powder belongs to bcc or fcc lattices. Justify your answer. (111) 100 A=0.1542 nm (CuK „-radiation) 80 60 (200) 40 (311) (220) 20 (222) (400) (331)(420) 20 30 40 50 60 70 80 90 100 110 120 20 (degrees) Fig. Q3 (c): X-ray diffraction pattern of Aluminum powder by CuK_- radiation. Inte nsity (arbitrary units)