Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 6, Problem 8P
To determine

The value of energy state n.

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Consider a particle of mass m moving in a 2-dimensional rectangular box of sides La and Ly, with Le 2Ly. If we use the symbols E, to denote the energy of the ground state of the system, Ee1 the energy of the first excited state, Ee2 the energy of the second excited state, and Ee3 the energy of the third excited state, what are the numerical values of the ratios Ee1/Eg, Ee2/Eg, and Ee3/E,?
A 4.00-g particle confined to a box of length L has a speed of 1.00 mm/s. (a) What is the classical kinetic energy of the particle? (b) If the energy of the first excited state (n = 2) is equal to the kinetic energy found in part (a), what is the value of L? (c) Is the result found in part (b) realistic? Explain.
An unknown moving ion is confined in a OD nanomaterial in which all three dimensions are equals to 5 nm. Estimate with what accuracy its velocity and energy can be measured (given mass of the ion is 4.8×10 26 kg)?
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