Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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 42, Problem 21SP
To determine

To show: ThatPlanck’s constant 6.626×1034 Js can be expressed as 4.136×1015 eVs.

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Ex. 20: Find the value of energy of electron in eV in the third Bohr orbit of hydrogen atom. (Rydberg's constant (R) = 1.097 × 107 m¹, Planck's constant (h) = 6.63 × 10-34 J-s, velocity of light in air (c) = 3 × 108 m/s).
The quantum-mechanical treatment of the hydrogen atomgives the energy, E, of the electron as a function of the principal quantum number, n:E=-h²/8π²mₑ²aₒ²n² (n=123...) where his Planck’s constant, meis the electron mass, and a0 is 52.92X10⁻¹² =-m.(a) Write the expression in the form E(constant)=-(constant)1/n² , evalu-ate the constant (in J), and compare it with the corresponding expression from Bohr’s theory.(b) Use the expression to find ΔE between n=2 and n=3.(c) Calculate the wavelength of the photon that corresponds tothis energy change. Is this photon seen in the hydrogen spectrumobtained from experiment
The quantum state of an electron in an atom is described by quantum numbers n = 6, ℓ = 4, and mℓ = 1. The orbital total angular momentum of the electron is measured to be x × h/2π, where h is Planck’s constant. What is the number x(remember to use the scientific notation)?
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