Solution: (a) An electron in the ground state of the
Chapter 7, Problem 7.139(choose chapter or problem)
(a) An electron in the ground state of the hydrogen atom moves at an average speed of 5 3 106 m/s. If the speed is known to an uncertainty of 1 percent, what is the uncertainty in knowing its position? Given that the radius of the hydrogen atom in the ground state is 5.29 3 10211 m, comment on your result. The mass of an electron is 9.1094 3 10231 kg. (b) A 3.2-g Ping-Pong ball moving at 50 mph has a momentum of 0.073 kg ? m/s. If the uncertainty in measuring the momentum is 1.0 3 1027 of the momentum, calculate the uncertainty in the Ping-Pong balls position.
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