It is interesting to speculate on the properties of a universe with different values for the fundamental constants.(a) In a universe in which Planck’s constant had the valueh =1 J s, what would be the de Broglie wavelength ofa 145-g baseball moving at a speed of 20 m s-1 ?(b) Suppose the speed of the ball from part (a) is known to lie between 19 and 21 m s-1. What is the smallest distance within which it can be known to lie?(c) Suppose that in this universe the mass of the electron is1 g and the charge on the electron is 1 C. Calculate the Bohr radius of the hydrogen atom in this universe.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
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It is interesting to speculate on the properties of a universe with different values for the fundamental constants.
(a) In a universe in which Planck’s constant had the value
h =1 J s, what would be the de Broglie wavelength of
a 145-g baseball moving at a speed of 20 m s-1 ?
(b) Suppose the speed of the ball from part (a) is known to lie between 19 and 21 m s-1
. What is the smallest distance within which it can be known to lie?
(c) Suppose that in this universe the mass of the electron is
1 g and the charge on the electron is 1 C. Calculate the Bohr radius of the hydrogen atom in this universe.

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