Concept explainers
The three longest wavelengths of the photon that the singly ionized helium atoms will absorb strongly.
Answer to Problem 26SP
Solution:
Explanation of Solution
Given data:
The helium atom is singly ionized.
Formula used:
The expression for the energy of an atom having a single electron in the
Here,
The expression for the difference between the two energy levels is written as
Here,
The expression for the difference between the two energy levels is written as
Here,
Explanation:
The minimum energies of the photon will be observed for the transition of electron from
Now, the singly ionized helium atom behaves like a hydrogen atom. And, the wavelength of the photon emitted during the transition from higher to lower state will be equal to the wavelength of the photon absorbed during the transition from lower to higher state.
Now, recall the expression for energy of the atom in the
Substitute
This is the ground state energy of the singly ionized helium atom.
Similarly, substitute
This is the first excited state energy of the singly ionized helium atom.
Similarly, substitute
This is the second excited state energy of the singly ionized helium atom.
Again, substitute
This is the third excited state energy of the singly ionized helium atom.
Write the expression for the difference of energy for the transition of electron from
Substitute
Write the expression for energy of the photon emitted for the transition of electron from
Here,
Rearrange the expression for
Substitute
Write the expression for the difference of energy for the transition of electron from
Substitute
Write the expression for energy of the photon emitted for the transition of electron from
Here,
Rearrange the expression for
Substitute
Write the expression for the difference of energy for the transition of electron from
Substitute
Write the expression for energy of the photon emitted for the transition of electron from
Here,
Rearrange the expression for
Substitute
Conclusion:
Since the wavelength of the photon emitted during the transition from higher to lower state will be equal to the wavelength of the photon absorbed during the transition from lower to higher state, the three longest wavelengths of the photon, that the singly ionized helium atoms will absorb strongly, are
Want to see more full solutions like this?
Chapter 43 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- An x-ray is modeled by the equation E= (1000V/m)sin(kx - 8.96 *1018t) What is the wavenumber, k, in m-1, of this x-ray?arrow_forwardBy what rate a photon emitted from a sodium vapor lamp? Assume that the lamp's light is monochromatic and of wavelength 589 nm? Answer : 1.5*10^20 s^-1arrow_forwardThe work function of gold is 4.82 eV. Light with a wavelength of 1750 Å is dropped on gold. Using this data, calculate the maximum kinetic energies of the ejected electrons. h =6,62x10-34 .sn, c = 3x10$ m/sn).arrow_forward
- The infrared spectrum of 75Br19F consists of an intense line at 380. cm-1. Calculate its force constant, k, in units of N/m. (You can use the example as a sanity check.)arrow_forwardAssume we have a material with a work function of 4.94 eV. What is the maximum speed, in meters per second, of electrons ejected from this metal by photons of light with wavelength 75 nm?arrow_forwardA parallel beam of 500-keV photons is normally incident on 0.8 cm sheet of lead (density = 11.4 g/cm³) at a rate of 2x10 photns/sec. µ/p = 0.16 cm²/g, Hen/p = 0.09 cm²/g, H/p = 0.11 cm²/g What is the fraction of photons transmitted without interaction? Choose. + What fraction of the transmitted energy is due to uncollided photons? Choose... What fraction of the initial kinetic energy transferred to the electrons is emitted as Bremsstrahlung? Choose...arrow_forward
- The peak intensity of the CMBR occurs at a wavelength of 1.1 mm. What is the energy in eV of a 1.1-mm photon?arrow_forward[06/04, 2:13 PM] +91 93814 04108: The minimum amount of energy required to energize a particle from its ground state to first excited state is 1*10^4 eV. One photon source P1 corresponding to X ray wavelength 1nm and another photon source p2 corresponding to visible light wavelength 500 nm are available. As a physicist, which one of these photons would you choose for energizing the atom? [06/04, 2:14 PM] +91 93814 04108: Draw a neat diagram to show the procedure and show your calculations in detail.arrow_forwardQ. 10 : The (nth) bright band of red light of wavelength 6750 Å is coincide with [(n + 1)th] bright band of green light of wavelength 5400 Å. Find the value of (n). (a) (b) 4 (c) 3 (d) 6arrow_forward
- Integrated ConceptsA pulsar is a rapidly spinning remnant of a supernova. It rotates on its axis, sweeping hydrogen along with it so that hydrogen on one side moves toward us as fast as 50.0 km/s, while that on the other side moves away asfast as 50.0 km/s. This means that the EM radiation we receive will be Doppler shifted over a range of ±50.0 km/s . What range of wavelengths will we observe for the 91.20-nm line in the Lyman series of hydrogen? (Such line broadening is observed and actually provides part of the evidence for rapid rotation.)arrow_forwardSuppose that a minimum energy of 5 × 10-1º J is required to extract an electron in an atomic system in a star. What is the minimum frequency of radiation? What is the longest wavelength of radiation in nm?arrow_forwardhow do we know for a photon the pressure is pV = U/3 ??arrow_forward
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning