College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 29, Problem 82PE
Integrated Concepts
A laser with a power output of 2.00 mW at a wavelength of 400 nm is projected onto calcium metal. (a) How many electrons per second are ejected? (b) What power is carried away by the electrons, given that the binding energy is 2.71 eV? (c) Calculate the current of ejected electrons. (d) If the photoelectric material is electrically insulated and acts like a 2.00-pF capacitor, how long will current flow before the capacitor voltage stops it?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
a) Calculate the number of photoelectrons per second ejected from a 0.75 -mm? area of sodium metal by 295 nm EM
radiation having an intensity of 1.30 kW/m² (the intensity of sunlight above the Earth's atmosphere).
electrons per second
b) Given that the binding energy is 2.20 eV, what power is carried away by the electrons?
mW
A HeNe laser generates laser light with an output of 2.00mW and a wavelength of 632.8nm.
a) how many photons do the larsen leave every second?
b) if the laser beam illuminates an aluminum surface for one minute, which is the maximum number of electrons that can be released during that minute.
c) what wavelength would the laser light need to have in order for the shortest de Broglie wavelength of the released electrons to be 548 pm
d) if light with the wavelength you calculated in problem c) would illuminate a golden white instead, would you then expect released electrons with a shorter de Broglie wavelength than that in problem c)? Motivate your answer
In the equation above, w is called the work function and it is the minimum
energy required to dislodge an electron from the metal's surface. The value of w
varies from metal to metal, Using Einstein's formula for the energy of a photon,
The work function is
related to the threshol
frequency (and thresk
wave length) as follo
we obtain the following expression for the kinetic energy of the ejected electrons:
hc
w = hv.=
(KE),
= hv
- w = h(v-v
This result helped Einstein explained observations (1) and (2). Since (KE). = mv
must be greater than zero (i.e. m is positive and v is positive), then we know that v
must be greater than ve: Also, a plot of (KE). versus v should be linear and the value
of h is obtained from the slope of the line! The value of h was expected to be (and found
to be) equal to 6.626x10-34 J s!
The "appearance" of h in another physical situation suggested that Planck's quantum
hypothesis was not that crazy after all.
See p
from
Example 2-1: A domestic microwave employs…
Chapter 29 Solutions
College Physics
Ch. 29 - Give an example of a physical entity that is...Ch. 29 - Give an example of a physical entity that is not...Ch. 29 - What aspect of the blackbody spectrum forced...Ch. 29 - If Planck's constant were large, say 1034 times...Ch. 29 - Why don't we notice quantization in everyday...Ch. 29 - Is visible light the only type of EM radiation...Ch. 29 - Which aspects of the photoelectric effect cannot...Ch. 29 - Is the photoelectric effect a direct consequence...Ch. 29 - Insulators (nonmetals) have a higher BE than...Ch. 29 - If you pick up and shake a piece of metal that has...
Ch. 29 - Why are UV, x rays, and rays called ionizing...Ch. 29 - How can treating food with ionizing radiation help...Ch. 29 - Some television tubes are CRTs. They use an...Ch. 29 - Tanning salons use "safe" UV with a longer...Ch. 29 - Your pupils dilate when visible light intensity is...Ch. 29 - One could feel heat transfer in the form of...Ch. 29 - Can a single microwave photon cause cell damage?...Ch. 29 - In an the maximum photon energy E given by hf=qV....Ch. 29 - Which formula may be used for the momentum of all...Ch. 29 - Is there any measurable difference between the...Ch. 29 - Why don't we feel the momentum of sunlight when we...Ch. 29 - How does the interference of water waves differ...Ch. 29 - Describe one type of evidence for the wave nature...Ch. 29 - Describe one type of evidence for the particle...Ch. 29 - What is the Heisenberg uncertainty principle? Does...Ch. 29 - In what ways are matter and energy related that...Ch. 29 - A LiBr molecule oscillates with a frequency of...Ch. 29 - The difference in energy between allowed...Ch. 29 - A physicist is watching a 15-kg orangutan at a zoo...Ch. 29 - What is the longest-wavelength EM radiation that...Ch. 29 - Find the longest-wavelength photon that can eject...Ch. 29 - What is the binding energy in eV of electrons in...Ch. 29 - Calculate the binding energy in eV of electrons in...Ch. 29 - What is the maximum kinetic energy in eV of...Ch. 29 - UV radiation having a wavelength of 120 nm falls...Ch. 29 - Violet light of wavelength 400 nm ejects electrons...Ch. 29 - UV radiation having a 300-nm wavelength falls on...Ch. 29 - What is the wavelength of EM radiation that ejects...Ch. 29 - Find the wavelength of photons that eject 0.100-eV...Ch. 29 - What is the maximum velocity of electrons ejected...Ch. 29 - Photoelectrons from a material with a binding...Ch. 29 - A laser with a power output of 2.00 mW at a...Ch. 29 - (a) Calculate the number of photoelectrons per...Ch. 29 - Unreasonable Results Red light having a wavelength...Ch. 29 - Unreasonable Results (a) What is the binding...Ch. 29 - What is the energy in joules and eV of a photon in...Ch. 29 - (a) Find the energy in joules and eV of photons in...Ch. 29 - Calculate the frequency in hertz of a 1.00-MeV ...Ch. 29 - (a) What is the wavelength of a 1.00-eV photon?...Ch. 29 - Do the unit conversions necessary to show that...Ch. 29 - Confirm the statement in the text that the range...Ch. 29 - (a) Calculate the energy in eV of an IP photon of...Ch. 29 - Prove that, to three-digit accuracy,...Ch. 29 - (a) What is the maximum energy in eV of photons...Ch. 29 - What is the accelerating voltage of an x-ray tube...Ch. 29 - (a) What is the ratio of power outputs by two...Ch. 29 - How many photons per second are emitted by the...Ch. 29 - Some satellites use nuclear power. (a) If such a...Ch. 29 - (a) If the power output of a 650-kHz radio station...Ch. 29 - How many x-ray photons per second are created by...Ch. 29 - (a) How far away must you be from a 650-kHz radio...Ch. 29 - Assuming that 10.0% of a 100-W light bulb's energy...Ch. 29 - Construct Your Own Problem Consider a laser pen....Ch. 29 - (a) Find the momentum of a 4.00-cm-wavelength...Ch. 29 - (a) What is the momentum of a 0.0100-nm-wavelength...Ch. 29 - (a) What is the wavelength of a photon that has a...Ch. 29 - (a) A -ray photon has a momentum of...Ch. 29 - (a) Calculate the momentum of a photon having a...Ch. 29 - Repeat the previous problem for a...Ch. 29 - (a) Calculate the wavelength of a photon that has...Ch. 29 - (a) Find the momentum of a 100-keV x-ray photon....Ch. 29 - Take the ratio of relativistic rest energy, E=mc2,...Ch. 29 - Construct Your Own Problem Consider a space sail...Ch. 29 - Unreasonable Results A car feels a small force due...Ch. 29 - At what velocity will an electron have a...Ch. 29 - What is the wavelength of an electron moving at...Ch. 29 - At what velocity does a proton have a 6.00-fm...Ch. 29 - What is the velocity of a 0.400-kg billiard ball...Ch. 29 - Find the wavelength of a proton moving at 1.00% of...Ch. 29 - Experiments are performed with ultra-cold neutrons...Ch. 29 - (a) Find the velocity of a neutron that has a...Ch. 29 - What is the wavelength of an electron accelerated...Ch. 29 - What is the kinetic energy of an electron in a TEM...Ch. 29 - (a) Calculate the velocity of an electron that has...Ch. 29 - The velocity of a proton emerging from a Van de...Ch. 29 - The kinetic energy of an electron accelerated in...Ch. 29 - Unreasonable Results (a) Assuming it is...Ch. 29 - (a) If the position of an electron in a membrane...Ch. 29 - (a) If the position of a chlorine ion in a...Ch. 29 - Suppose the velocity of an electron in an atom is...Ch. 29 - The velocity of a proton in an accelerator is...Ch. 29 - A relatively long-lived excited state of an atom...Ch. 29 - (a) The lifetime of a highly unstable nucleus is...Ch. 29 - The decay energy of a short-lived particle has an...Ch. 29 - The decay energy of a short-lived nuclear excited...Ch. 29 - What is the approximate uncertainty in the mass of...Ch. 29 - Derive the approximate form of Heisenberg's...Ch. 29 - Integrated Concepts The 54.0-eV electron in...Ch. 29 - Integrated Concepts An electron microscope...Ch. 29 - Integrated Concepts A certain heat lamp emits 200...Ch. 29 - Integrated Concepts On its high power setting, a...Ch. 29 - Integrated Concepts (a) Calculate the amount of...Ch. 29 - Integrated Concepts (a) What is for an electron...Ch. 29 - Integrated Concepts (a) What is for a proton...Ch. 29 - Integrated Concepts An electron microscope passes...Ch. 29 - Integrated Concepts (a) Calculate the velocity of...Ch. 29 - Integrated Concepts (a) What is the separation...Ch. 29 - Integrated Concepts A laser with a power output of...Ch. 29 - Integrated Concepts One problem with x rays is...Ch. 29 - Integrated Concepts A 1.00-fm photon has a...Ch. 29 - Integrated Concepts The momentum of light is...Ch. 29 - Integrated Concepts Sunlight above the Earth's...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The electromagnetic spectrum of light is often arranged in terms of frequency. Which one of the following has t...
Lecture- Tutorials for Introductory Astronomy
1. If an object is not moving, does that mean that there are no forces acting on it? Explain.
College Physics: A Strategic Approach (3rd Edition)
3. Suppose the door of a room makes an airtight, but frictionless, fit in its frame. Do you think you could ope...
College Physics (10th Edition)
A car is 2.0 km west of a traffic light at t=0 and 5.0 km east of the light at t=6.0min . Assume the origin of ...
University Physics Volume 1
The speed of the person sitting on the chair relative to the chair and relative to Earth.
Conceptual Physics (12th Edition)
In the space at right sketch the position vectors for point C at the beginning and at the end of a small time i...
Tutorials in Introductory Physics
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 carbon dioxide laser used in surgery emits infrared radiation with a wavelength of 10.6 µm . In 1.00 ms, this laser raised the temperature of 1.00 cm of flesh to and evaporated it. (a) How many photons were required? You may assume that flesh has the same heat of vaporization as water, (b) What was the minimum power output during the flash?arrow_forwardCheck Your Understanding X-rays are produced by bombarding a metal target with high-energy electrons. If the target is replaced by another with two times the atomic number, what happens to the frequency of X-rays?arrow_forwardExperiments are performed with ultra-cold neutrons having velocities as small as 1.00 m/s. (a) What is the wavelength of such a neutron? (b) What is its kinetic energy in eV?arrow_forward
- X-rays are produced by striking a target with a beam of electrons. Prior to striking the target, the electrons are accelerated by ail electric field through a potential energy difference: U=eV, where e is the charge of an electron and V is the voltage difference. If V = 15,000 volts, what is the minimum wavelength of the emitted radiation?arrow_forwardCT scanners do not detect details smaller than about 0.5 Is this limitation clue to the wavelength of x lays? Explain.arrow_forwardWhat is the kinetic energy of a 0.01-nm electron in a TEM?arrow_forward
- Find the wavelength of radiation that can eject 2.00-eV electrons from calcium electrode. The work function for calcium is 2.71 eV. In what range is this radiation?arrow_forwardThe rate at which solar wind particles enter the atmosphere is higher during the day than at night, yet the intensity of the auroral emissions remains high well after the Sun has set. Can you suggest a means by which the atmospheric molecules might be able to radiate long after the period of collisions with charged particles has ended? (Hint: How long does it take a typical atom to radiate from a normal allowed energy state? How could this time be lengthened?)arrow_forwardWhy does the energy of characteristic x rays become increasingly greater for heavier atoms?arrow_forward
- The HC1 molecule oscillates at a frequency of 87.0 THz. What is the difference (in eV) between its adjacent energy levels?arrow_forwardAt what velocity does a proton have a 6.0-fm wavelength (about the size of a nucleus)? Give your answer in units of c.arrow_forward(a) Calculate the velocity of an electron that has a wavelength of 1.00 m. (b) Through what voltage must the electron be accelerated to have this velocity?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning