Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 4, Problem 10Q
To determine
Why the current does not dips corresponding to the excitation of mercury atom’s.
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The electron, in a hydrogen atom, is in its second excited state.
Calculate the wavelength of the lines in the Lyman series, that can be emitted through the permissible transitions of this electron.
(Given the value of Rydberg constant, R = 1.1 × 107 m-1 )
A) What is the least amount of energy, in electron volts, that must be given to a hydrogen atom which is initially in its ground level so that it can emit the HαHα line in the Balmer series?
Express your answer in electronvolts to three significant figures.
B) How many different possibilities of spectral-line emissions are there for this atom when the electron starts in the n = 3 level and eventually ends up in the ground level?
Zirconium (Z = 40) has two electrons in an incomplete d subshell.
(a) What are the values of n and ℓ for each electron?
n
=
ℓ
=
(b) What are all possible values of m and ms?
m
=
−
to +
ms
=
±
(c) What is the electron configuration in the ground state of zirconium? (Use the first space for entering the shorthand element of the filled inner shells, then use the remaining for the outer-shell electrons. Ex: for Manganese you would enter [Ar]3d54s2)
Chapter 4 Solutions
Modern Physics
Ch. 4.2 - Exercise 1 Find the horizontal speed vx for this...Ch. 4.2 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5Q
Ch. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10QCh. 4 - Prob. 11QCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - A mystery particle enters the region between the...Ch. 4 - Prob. 4PCh. 4 - A Thomson-type experiment with relativistic...Ch. 4 - Prob. 6PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - Prob. 43PCh. 4 - Prob. 44P
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- (a) How much energy is required to cause an electron in hydrogen to move from the n = 2 state to the n = 5 state? in J(b) Suppose the atom gains this energy through collisions among hydrogen atoms at a high temperature. At what temperature would the average atomic kinetic energy 3/2 * kBT be great enough to excite the electron? Here kB is Boltzmann's constant. in Karrow_forward(a) How much energy is required to cause an electron in hydrogen to move from the n = 2 state to the n = 5 state?in J(b) Suppose the atom gains this energy through collisions among hydrogen atoms at a high temperature. At what temperature would the average atomic kinetic energy 3/2 * kBT be great enough to excite the electron? Here kB is Boltzmann's constant. in Karrow_forwardA photon is emitted during the transition from the n = 7 state to the n = 1 state in the hydrogen atom. Note: Rydberg constant: 2.18x10-18 J Can this photon eject an electron from cesium metal (work function of Cs is 3.42x10-19 J) and why? What would be the speed of that electron once is ejected (mass electron is 9.109x10-31 kg)?arrow_forward
- If, in 1 1 = Ry - you set ni = 1 and take n2 greater than 1, you generate what is known as the Lyman %3D series. Find the wavelength of the first mem- ber of this series. The value of ħ is 1.05457 × 10¬34 J.s; the Rydberg constant for hydrogen is 1.09735 × 10’ m¬'; the Bohr radius is 5.29177 × 10¬1" m; and the ground state energy for hydrogen is 13.6057 eV. Answer in units of nm. Consider the next three members of this se- ries. The wavelengths of successive members of the Lyman series approach a common limit as n2 → ∞. What is this limit? Answer in units of nm.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_forwardUse the Bohr theory to estimate the wavelength for an n = 3 to n = 1 transition in molybdenum. The measured value is 0.063 nm. Why do we not expect perfect agreement?arrow_forward
- Suppose two electrons in an atom have quantum numbers n = 3 and ℓ = 2. (a) How many states are possible for those two electrons? (Keep in mind that the electrons are indistinguishable.) (b) If the Pauli exclusion did not apply to the electrons, how many states would be possible?arrow_forwardElectromagnetic radiation from a hydrogen gas lamp is shone onto a metal surface and the maximum kinetic energy of the ejected electrons is determined by measuring the stopping potential of each individual spectral line. (a) Three emission lines from the lamp are used, the three longest wavelengths of the Lyman Series, corresponding to the transitions n = 2 → n =1,n = 3 → n = 1,n = 4 →n = 1. Calculate these three transition energies in eV units. (b) Use the fact that hc = 1240 nm eV to find the wavelengths of these three transitions. (c) The three stopping potentials, respectively, are 6.00 V, 7.80 V and 8.50 V. From these values and the photon energies found in (a), calculate three experimental values for the work function of the metal surface. (d) Calculate the average value of the work function from (c). (e) Find a list of metals with their associated work functions on the internet. Cite the web resource you found and list the metal(s) the photocathode might be made of.arrow_forwardA student in a physics laboratory observes a hydrogen spectrum with a diffraction grating for the purpose of measuring the wavelengths of the emitted radiation. In the spectrum, she observes a yellow line and finds its wavelength to be 589 nm. (a) Assuming this is part of the Balmer series, determine ni , the principal quantum number of the initial state. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?arrow_forward
- The ground-state wave function for the electron in a hydro- gen atom is 1 1,(7) = VTa where r is the radial coordinate of the electron and a, is the Bohr radius. (a) Show that the wave function as given is normalized. (b) Find the probability of locating the electron between r, = a,/2 and r, = 3a,/2.arrow_forwardSuppose two electrons in an atom have quantum numbers n = 7 and e = 5. (a) How many states are possible for those two electrons? (Keep in mind that the electrons are indistinguishable.) (b) If the Pauli exclusion did not apply to the electrons, how many states would be possible?arrow_forwardCalculate the probability density | W100(r,8,0)|² of finding the electron at the nucleus (considered as a point at the center of coordinates) for a hydrogen atom in the state 100. \3/2 R10(r) =: 2Zr (hbar)? ao = me? Yoo(e,$)= - nao Please notice that the above formulas are written in the cgs system of units, so mass is in grams, distance is in cm, and energy is in erg = g cm2/s2. In this system of units e = 4.8032068 X 10-10 statC, where 1 statC = 1 cm3/2 g1/2 s-1 O 0.18 pm-3 2.15 x 10-6 pm-3 Oc. 1.54 x 10-18 Pm-3 6.22 x 10-10 pm-3 Oe1 23 x 104 pm-3arrow_forward
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