Concept explainers
The four largest wavelengths for the Brackett and Pfund series of hydrogen.
Answer to Problem 12P
The four wavelengths for the Bracket series are
Explanation of Solution
Write the expression for the Rydberg’s equation.
Here,
The number corresponding to the Brackett series of hydrogen spectrum is
Conclusion:
For Brackett series:
Substitute
Substitute
Substitute
Substitute
For Pfund series:
Substitute
Substitute
Substitute
Substitute
Thus, the four wavelengths for the Bracket series are
Want to see more full solutions like this?
Chapter 3 Solutions
Modern Physics for Scientists and Engineers
- The approximate energies of the K and K X-rays for copper are Ek=8.00 keV and Ek=9.48 keV, respectively. Determine the ratio of X-ray frequencies of gold to copper, then use this value to estimate the corresponding energies of Kaand KßX-rays for gold.arrow_forwardWhat is the Doppler-broadened linewidth of the electronic transition at 821 nm in atomic hydrogen at 300 K?arrow_forwardThe wavelenghts of the Lyman series for hydrogen are given byarrow_forward
- What would the wavelength in m of the emitted radiation be if a hydrogen atom was placed in an external uniform magnetic field of 240 T and transitioned from a spin-up to a spin-down state?arrow_forwardFind the Rydberg constant for hydrogen with the help of atomic constants, assuming the mass of the nucleus to be infinite.arrow_forwardin a transition from n=~ to n=4, calculate the shortest wavelength photon in the balmer seriesarrow_forward
- Find the longest and shortest wavelengths in the Lyman and Paschen series for hydrogen. In what region of the electromagnetic spectrum does each series lie?arrow_forwardThe Ka x-ray line for any element arises because of atransition between the K shell (n = 1) and the L shell (n = 2).this line (for a molybdenum target)occurring at a single wavelength. With higher resolution, however,the line splits into several wavelength components becausethe L shell does not have a unique energy. (a) How many componentsdoes the Ka line have? (b) Similarly, how many componentsdoes the Kb line have?arrow_forwardCalculate the frequency of the n = 4 line in the Lyman series of hydrogen. v゠ (Please type answer no write by hend)arrow_forward
- Consider only the Lyman, Balmer and Paschen series for the energy diagram provided for an unknown element. If the visible spectrum Lies between 370 nm to 750 nm, determine the number of different energies that would be observed from the unknown element which ally in the infra rated spectrum. Provide full solutionarrow_forwardA Hydrogen atom initially in its ground state i.e., n = 1 level, absorbs a photon and ends up in n = 4 level. (a) What must have been the frequency of the photon? Now the electron makes spontaneous emission and comes back to the ground state. (b) What are the possible frequencies of the photons emitted during this process?arrow_forwardFind ratio of spontaneous to stimulated emission for a cavity of temperature 50k and wavelength 0.00001arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax