Concept explainers
The explanation of Planck’s hypothesis that agrees with the classical explanation that objects emit light through the accelerated motion of electrically charged particles.
Answer to Problem 1RQ
Solution:
An accelerated charged particle emits
Explanation of Solution
Introduction:
Planck’s hypothesis stated that an accelerated charged particle can radiate an electromagnetic wave. They radiate energy only in a discrete portion called the quanta.
Explanation:
According to Planck, accelerated charged particles are responsible for electromagnetic radiation. However, they could radiate energy only in a discrete portion called the quanta. Each quantum of emitted energy was equal to the multiple of some fundamental portion of energy. According to Planck, instead of frequency quantization (classical concept), it is the energy of the oscillator that was quantized. Mathematically:
Here,
Conclusion:
Planck’s hypothesis suggested that the energy of the electromagnetic radiation of the oscillator is quantized, rather than the frequency.
Want to see more full solutions like this?
Chapter 27 Solutions
College Physics
- (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?arrow_forward(a) A -ray photon has a momentum of 8.001021kgm/s. What is its wavelength? (b) Calculate its energy in MeV.arrow_forward(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?arrow_forward
- Integrated Concepts A neighboring galaxy rotates on its axis so that stars on one side move toward us as fast as 200 km/s, while those on the other side move away as fast as 200 km/s. This causes the EM radiation we receive to be Doppler shifted by velocities over the entire range of 200 km/s. What range of wavelengths will we observe for the 656.0-nm line in the Balmer series of hydrogen emitted by stars in this galaxy. (This is called line broadening.)arrow_forwardConstruct Your Own Problem Consider the Doppler-shifted hydrogen spectrum received from a rapidly receding galaxy. Construct a problem in which you calculate the energies of selected spectral lines in the Balmer series and examine whether they can be described with a formula like that in the equation 1=R(1nf21ni2), but with a different constant R.arrow_forwardIntegrated 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?arrow_forward
- (a) What is the shortest-wavelength x-ray radiation that can be generated in an x-ray tube with an applied voltage of 50.0 kV? (b) Calculate the photon energy in eV. (c) Explain the relationship of the photon energy to the applied voltage.arrow_forwardConstruct Your Own Problem The solar corona is so hot that most atoms in it are ionized. Consider a hydrogen-like atom in the corona that has only a single electron. Construct a problem in which you calculate selected spectral energies and wavelengths of the Lyman, Balmer, or other series of this atom that could be used to identify its presence in a very hot gas. You will need to choose the atomic number of the atom, identify the element, and choose which spectral lines to consider.arrow_forwardViolet light of wavelength 400 nm ejects electrons with a maximum kinetic energy of 0.860 eV from sodium metal. What is the binding energy of electrons to sodium metal?arrow_forward
- 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?arrow_forwardIntegrated Concepts In a Millikan oil-drop experiment using a setup like that in Figure 30.9, a 500-V potential difference is applied to plates separated by 2.50 cm. (a) What is the mass of an oil drop having two extra electrons that is suspended motionless by the field between the plates? (b) What is the diameter of the drop, assuming it is a sphere with the density of olive oil?arrow_forward(a) What is the wavelength of a photon that has a momentum of 5.001029kgm/s ? (b) Find its energy in eV.arrow_forward
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax