Concept explainers
The wavelength frequency, and energy (electron volts) for the second and third lines in the Lyman Series.
Answer to Problem 3.18P
Second Line λ = 1.023 x 10-7 m
E = 12.11 eV
Third Line
Explanation of Solution
Formula used:
The formulas
Calculation:
To solve the second line:
n1= 1
n2 = 3
Substituting these values,
To determine the energy, the frequency must be found.
To solve the third line:
n1= 1
n2 = 4
Substituting these values,
To determine the energy, the frequency must be found.
Conclusion:
The wavelength of the second line λ is
Want to see more full solutions like this?
Chapter 3 Solutions
Introduction To Health Physics
- The frequency range (the difference between the maximum and minimum frequencies) of the Lyman series is,arrow_forwardWhat is the wavelength of the hydrogen Balmer Series photon for m=4 and n=2 using the Rydberg forumla?arrow_forwardCompute the intrinsic line-width (Δλ) of the Lyman α line (corresponding to the n=2 to n=1) transition for the Hydrogen atom. You may assume that the electron remains in the excited state for a time of the order of 10^−8s. The line-width may be computed using:ΔE=(hc/λ^2)Δλarrow_forward
- Compute the oscillation frequency of the electron and the expected absorption or emission wavelength in a Thomson- model hydrogen atom. Use R = 0.053 nm.arrow_forwardThe shortest wavelength of the hydrogen Lyman series is 91.13 nm. Find the three longest wavelengths in this series.arrow_forwardDo the Balmer and Lyman series overlap? To answer this, calculate the shortest-wavelength Balmer line and the longest-wavelength Lyman line.arrow_forward
- Using the Rydberg formula, calculate the wavelengths of the first four spectral lines in the Lyman series of the hydrogen spectrum.arrow_forwardCalculate the wavelengths of the components of the first line of the Lyman series, taking the fine structure of the 2p level into accountarrow_forwardFind the wavelength (in nm) of the sixth line in the Lyman series. Identify the type of EM radiation. (Radio waves, gamma waves, etc.)arrow_forward
- (a) What is the wavelength of light for the least energetic photon emitted in the Balmer series of the hydrogen atom spectrum lines? (b) What is the wavelength of the series limit?arrow_forwardShow that the longest wavelength of the Balmer series and the longest two wavelengths of the Lyman series sat- isfy the Ritz combination principle. For the Lyman series, limit = 91.13 nm.arrow_forwardThe Balmer series for hydrogen was discovered before either the Lyman or the Paschen series. Why?arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning