Q2:- A photon of frequency v is scattering by an electron initially at rest. Verify that the maximunkinetic energy of recoil is given by: kEmax = (ahv)/(1+ a) where a 2hv/m.c²(h-plank's constant; v photon's frequency; m,electron's rest mass; c= the speed of light]

Answered: Image /qna-images/answer/40d97eb9-7456-47cf-b4cd-ddb6a7b4d2b0.jpg

-A photon of frequency v is scattering by an electron initially at rest. Verify that the maximunm kinetic energy of recoil is given by: kEmax = (ahv)/(1 + a) where a = 2hv/m,c (h-plank's constant; v photon's frequency; m, electron's rest mass; c- the speed of light]

-A photon of frequency v is scattering by an electron initially at rest. Verify that the maximunm kinetic energy of recoil is given by: kEmax = (ahv)/(1 + a) where a = 2hv/m,c (h-plank's constant; v photon's frequency; m, electron's rest mass; c- the speed of light]

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter29: Introduction To Quantum Physics

Section: Chapter Questions

Problem 15PE: Photoelectrons from a material with a binding energy of 2.71 eV are ejected by 420-nm photons. Once...

See similar textbooks

Related questions

Q: Suppose that the microwave radiation has a wavelength of 12 cm . How many photons are required to…

A: The mass of the coffee is given by, m=Vρ Here, V is the volume of the coffee and ρ is the density of…

Q: The total power per unit area radiated by a black body at a temperature Tis the area under the…

A: The expression for the Planck’s law, The expression for the total power radiated power unit area,

Q: Suppose that the microwave radiation has a wavelength of 11.6 cm. How many photons are required to…

Q: Given a photon with wavelength 430 nm, find the energy and momentum of the photon. What equivalent…

Q: 40. The momentum of a photon is 2.23 x 10 kg m/s. Its frequency and speed must be: 9.91 x 10 Hz and…

Q: An x-ray photon increases its wavelength by 1.0 x 109 m, when it collides with a particle whose…

Q: By what rate a photon emitted from a sodium vapor lamp? Assume that the lamp's light is…

A: lambda=wavelength=589*10^-9 m E=hc/(lambda) h=6.625*10^-34 Js c=3*10^8 m/s on solving for E we…

Q: Which statement is TRUE about Einstein’s explanation regarding the photoelectric effect? I. The…

A: Photoelectric effect is the emission of electron when a photon of sufficient energy falls on a metal…

Q: The mass of a proton is 1.67 × 10-27 kg. If a proton has the same momentum as a photon with a…

A: mass of a proton is 1.67 × 10-27 kg wavelength of photon = 325 nm

Q: X-rays having an energy of 100 keV undergo Compton scattering from a free electron which is…

A: The energy of the recoiling electron is 1.94 keV

Q: Consider the Compton scattering of a photon of wavelength Xo by a free electron moving with a…

Q: All photons present in a light beam of single frequency incident on the emitter C have (a) same…

A: Light consists of packet of energy. These packets of energy are called light quantum that are…

Q: Q 1/ The assemblies of the harmonic oscillations that give energy with the Planck relationship Es =…

Q: 1. Rank these photons in terms of decreasing energy: (a) IR (v = 6.5 x 1013 s'); (b) microwave (v =…

Q: How much energy does a photon of yellow light have if it’s wavelength is 600nm?

A: Energy of a photon = hν E = hc/λ given, λ = 600 nm

Q: Q1: An electron in a resting state causes a photon to deviate from its path by an angle of 120…

A: Compton Scattering is the deviation of a photon after it collides with a charged particle. when…

Q: *38 Show that when a photon of energy E is scattered from a free electron at rest, the maximum…

Q: In the Compton scattering event, the kinetic energy of an electron recoiled by an x-ray is 264 eV.…

A: The energy of the incident photon can be calculated as,

Q: If the momentum of a particle is doubled, its kinetic energy increases by a factor of 4. If the…

Q: Which of the following is necessarily true?(a) Red light has more energy than violet light.(b)…

A: The energy of a photon is inversely proportional to its wavelength. A red photon has higher…

Q: What is the wavelength of maximum intensity (in nm) and the total energy emitted (in J/s/m2) by a…

A: The temperature of the celestial body is given to be 7K. In case of a celestial body which we…

Q: Calculate the wavelength of a photon that has the same energy as the rest energy of an electron…

A: We know thatEnergy of photon is given byE=hcλHereh=6.626×10-34Jsplank constantc=3×108m/sspeed of…

Q: If a photoemissive surface has a threshold frequency of 4.6 x 104 Hz, calculate the in eV. Givenh =…

Q: Calculate the energy, in electron volts, of a photon whose frequency is (a) 6.20 x 102 THz, (b) 3.10…

A: Write the expression for energy in terms of frequency.

Q: Calculate the momentum of a photon of frequency 2.5 x 1015 m/s and type in just the value of p. Hz…

A: Given: Frequency of photon f = 2.5 × 1015 Hz We have to calculate the momentum of a photon.

Q: Imagine another universe in which the value of Planck’s constant is 0.0663 J . s, but in which the…

A: Given: The value of Planck's constant is 0.0663 J.s. The distance is 12 m. The mass of the ball is…

Q: Three light sources are shone onto a plant: i) ii) 320 nm at an intensity of 200 umol photons.ms 440…

A: We have been given 3 light sources of wavelength 320 nm, 440nm and 675 nm having intensity 200, 300…

Q: What is the wavelength of maximum intensity (in nm) and the total energy emitted (in J/s/m2) by a…

Q: Calculate the wavelength (in Å) of the photon incident on a proton initially at rest if the maximum…

A: We have maximum fractional frequency shift given by Δν/νo=2.29*10-5 and we have a stationary proton…

Q: Photons of energy 0.7 MeV are scattered from electrons initially at rest. If the energy of the…

A: Given:- Photons of energy 0.7 MeV are scattered from electrons initially at rest. If the energy of…

Q: Two radiations of photons energies 1 eV and 2.5 eV, successively illuminate a photosensitive…

Q: How fast would a proton have to be traveling in order to have the same momentum as a photon with a…

Q: Find the momentum of a photon of ultraviolet light (130nm), green light (550nm), and infrared light…

Q: What are the energy and momentum of a photon of red light of wavelength 620 nanometers (nm)? What is…

Q: Photons of energy 0.7 MeV are scattered from electrons initially at rest. If the energy of the…

A: Given:- Photons of energy 0.7 MeV are scattered from electrons initially at rest. If the energy of…

Q: A beam having photon of energy 480 k eV is incident on a foil of aluminum. If the photon is…

A: The energy of the photon is E0 = 480 keV. Assume the photon is incident on the foil of aluminum. The…

Concept explainers

Nature of light

Light is transverse and electromagnetic radiation that exhibits the properties of a wave as well as a particle. For this reason, light is said to have a “dual nature.”

Question

Q2:- A photon of frequency v is scattering by an electron initially at rest. Verify that the maximun
kinetic energy of recoil is given by: kEmax = (ahv)/(1+ a) where a 2hv/m.c²
(h-plank's constant; v photon's frequency; m,electron's rest mass; c= the speed of light]

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 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

UV radiation having a wavelength of 120 nm falls on gold metal, to which electrons are bound by 4.82 eV. What is the maximum kinetic energy of the ejected photoelectrons?
What is the maximum velocity of electrons ejected from a material by 80-nm photons, if they are bound to the material by 4.73 eV?
(a) A -ray photon has a momentum of 8.001021kgm/s. What is its wavelength? (b) Calculate its energy in MeV.
(a) Use the Heisenberg uncertainty principle to calculate the uncertainty in energy for a corresponding time interval of (b) Compare this energy with the unificationofforces energy and discuss why they are similar.
What is the approximate uncertainty in the mass of a muon, as determined from its decay lifetime?
Integrated Concepts (a) What is for an electron emerging from the Stanford Linear Accelerator with a total energy of 50.0 GeV? (b) Find its momentum. (c) What is the electron's wavelength?
What is the longest-wavelength EM radiation that can eject a photoelectron from silver, given that the binding energy is 4.73 eV? Is this in the visible range?
Which aspects of the photoelectric effect cannot be explained without photons? Which can be explained without photons? Are the latter inconsistent with the existence of photons?
Photoelectrons from a material with a binding energy of 2.71 eV are ejected by 420-nm photons. Once ejected, how long does it take these electrons to travel 2.50 cm to a detection device?
(a) Calculate the wavelength of a photon that has the same momentum as a proton moving at 1.00% of the speed of light. (b) What is the energy of the photon in MeV? (c) What is the kinetic energy of the proton in MeV?
(a) What is the momentum of a 0.0100-nm-wavelength photon that could detect details of an atom? (b) What is its energy in MeV?
Why does the setup of Davisson—Germer experiment need to be enclosed in a vacuum chamber? Discuss what result you expect when the chamber is not evacuated.