EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 39, Problem 41P
To determine
The wavelength for an
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. (II) Estimate the wavelength for an n = 3 to n = 2
transition in iron (Z = 26).
(a) Determine the wavelength of the second Balmerline (n=4 to n=2 transition) using Fig. 27–29. Determine likewise (b) the wavelength of the second Lyman line and (c) the wavelength of the third Balmer line.
(a)
The Lyman series in hydrogen is the transition from energy levels n = 2, 3, 4, ...
to the ground state n =
1. The energy levels are given by
13.60 eV
En
n-
(i)
What is the second longest wavelength in nm of the Lyman series?
(ii)
What is the series limit of the Lyman series?
[1 eV = 1.602 x 1019 J, h = 6.626 × 10-34 J.s, c = 3 × 10° m.s]
%3D
Two emission lines have wavelengts A and + A2, respectively, where AA <<2.
Show that the angular separation A0 in a grating spectrometer is given
aproximately by
(b)
A0 =
V(d/m)-2
where d is the grating constant and m is the order at which the lines are observed.
Chapter 39 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - On what factors does the periodicity of the...Ch. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11P
Ch. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46P
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- (i) In hydrogen atom, an electron undergoes transition from 2nd excited state to the first excited state and then to the ground state. Identify the spectral series to which these transitions belong. (ii) Find out the ratio of the wavelengths of the emitted radiations in the two cases.arrow_forward- (II) Use the result of Example 28–7 (Z = 42) to estimate the X-ray wavelength emitted when a cobalt atom (Z = 27) makes a transition from n = 2 to n = 1.arrow_forward(2) Find the wavelength of the photon that is emitted when a hydrogen atom undergoes a transition from n; = 4 to nf = 1. (RH = 1.097 x 10-3Å-1) Answerarrow_forward
- (II) For each of the following atomic transitions, state whether the transition is allowed or forbidden, and why: (a) 4p → 3p; (b) 3p → 1s; (c) 4d → 2d; (d) 5d → 3s; (e) 4s → 2p.arrow_forwardCalculate the wavelength of the Mo(Z = 42)K« X-ray line given that the ionization energy of hydrogen is 13.6 eV [Adapted from the University of London, Royal Holloway 2002]arrow_forward4) Consider two energy states, E2 = 2.1 eV and E = 1 eV. Assume that there are 1*1016 electron/cm3 in E, and 1*1015 electron/cm' in E1. What temperature is required to create this population distribution in thermal equilibrium?arrow_forward
- 3. Starting from a thermal energy of phonon in the integral form 3π nD U = - ³7 for ( - II) n² dn hwn [exp(ħwn/t) − 1]) 2 where Debye number n = (6N/π)¹/³, find out the high temperature limit of the thermal energy (= 3NT) and heat capacity (= 3N) of phonon. Iarrow_forward(ii):Find the ground state L and S of oxygen (Z=8). Also find the matter wave associated with 111 MeV α-particles. Moreover, using L-S coupling find the ground state term for nd8 .arrow_forward(4) Derive the formula of mobility. Calculate the velocity of holes in a p-type of germanium due to its thermal energy at 77 K and due to the application of 4000 V/cm electric field across the piece of germanium.arrow_forward
- What is the difference in energy between two states (n = 1; n = 2) of the Fe atom that originates this transition? What is the corresponding energy difference for the hydrogen atom? use this equation to calculate the energy difference ΔΕ 327²e}h’n²arrow_forward(i) Calculate the zero point energy of a harmonic oscillator consisting of a particle of mass 2.5 × 10−26 kg witha force constant 125 N m−1. Calculate the wavelength of a photon needed to excite a transition between the neighbouring energy levels of this harmonic oscillator. (ii) Calculate the zero point energy of a harmonic oscillator consisting of a particle of mass 2.0 × 10−26 kgwith a force constant 120 N m−1.arrow_forwardThe Lyman series comprises a set of spectral lines. All of these lines involve a hydrogen atom whose electron undergoes a change in energy level, either beginning at the n = 1 level (in the case of an absorption line) or ending there (an emission line). The inverse wavelengths for the Lyman series in hydrogen are given by 1 - where n = 2, 3, 4, ... and the Rydberg constant R, = 1.097 x 10' m-. (Round your answers to at least one decimal place. Enter your answers in nm.) %3D (a) Compute the wavelength for the first line in this series (the line corresponding to n = 2). nm (b) Compute the wavelength for the second line in this series (the line corresponding to n = 3). nm (c) Compute the wavelength for the third line in this series (the line corresponding to n = 4). nm (d) In which part of the electromagnetic spectrum do these three lines reside? O x-ray region O ultraviolet region O infrared region O gamma ray region O visible light regionarrow_forward
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