Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 43, Problem 18SP
To determine
The energy pumped into thehydrogen atom to raise it from ground state to the second excited stateby using the figure 43-1.
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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 K
(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 K
(d) A singly ionised helium atom emits light at wavelengths of 230.6nm
and 541nm. Identify the transitions that result in those spectral
lines.
(e) Identify which of the following term symbols are and aren't valid
for states in Hydrogen, stating reasons for your answers. (i) 2s1/2;
(ii) 2s3/2; (iii) 3p1/2; (iv) 3d1/2; (v) 2d5/2.
Chapter 43 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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- (a) How much energy is required to cause an electron in hydrogen to move from the n = 1 state to the n = 3 state? eV(b) If the electrons gain this energy by collision between hydrogen atoms in a high temperature gas, find the minimum temperature of the heated hydrogen gas. The thermal energy of the heated atoms is given by 3kBT/2, where kB is the Boltzmann constant. Karrow_forward(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.arrow_forwardHow much energy is required to cause an electron in hydrogen to move from the n = 1 state to the n = 2 state? (b) If the electrons gain this energy by collision between hydrogen atoms in a high - temperature gas, find the minimum temperature of the heated hydrogen gas. The thermal energy of the heated atoms is given by 3kBT/2, where kB is the Boltzmann constant.arrow_forward
- The hydrogen atom was initially at the state where n=3 and l=2. It then decays to a lower state releasing a photon. What are the possible photon energies(in [eV]) that may be observed?arrow_forwardA hydrogen atom initially in its ground state (n=1) absorbs a photon and ends up in the state for which n = 3. What is the energy of the absorbed 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_forward
- The energy of an electron in a hydrogen atom is -4.45 x 10-20 J. What energy level (n) does it occupy? Is there another valid energy level at -2.69 x 10-20 J? If so, what is this other energy level?arrow_forwardDetermine the integral | P(r) dr for the radial probability density for the ground state of the hydrogen atom 4 P(r) = - r²e-2rla a³ O 1 O-1 O 0.5arrow_forward3. 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
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