Explanation Write the equation for the energy of a particle in a box. E n = h 2 8 m L 2 n 2 (I) Here, h is the Planck’s constant, m is the mass of the proton, L is the length of the box and n = 1 , 2 , 3... Write the equation for the energy of a particle in a box for the first allowed energy by substituting 1 for n . E 1 = h 2 8 m L 2 ( 1 ) 2 = h 2 8 m L 2 (II) Write the equation for the energy of a particle in a box for the second allowed energy by substituting 2 for n . E 2 = h 2 8 m L 2 ( 2 ) 2 = 4 h 2 8 m L 2 (III) Find the difference between the equation (II) and equation (III) to find the energy of the gamma ray photon emitted upon the transition from n = 2 to n = 1 E 2 − E 1 = 4 h 2 8 m L 2 − h 2 8 m L 2 = 3 h 2 8 m L 2 (IV) Rearrange the equation (IV) to obtain the equation for the length of the box E 2 − E 1 = 3 h 2 8 m L 2 L = 3 h 2 8 m ( E 2 − E 1 ) Substitute 6

3rd Edition

ISBN: 9780134270272

Author: Knight

Publisher: PEARSON

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Question

Chapter 28, Problem 81P

To determine

The length of the box

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Chapter 28, Problem 80P

Chapter 28, Problem 82P

Chapter 28 Solutions

College Physics (Cloth) - With Access

Ch. 28.1 - Prob. 28.1ST Ch. 28.2 - Prob. 28.2ST Ch. 28.3 - Prob. 28.3ST Ch. 28.4 - Prob. 28.4ST Ch. 28.5 - Prob. 28.5ST Ch. 28.6 - Prob. 28.6ST Ch. 28.6 - Prob. 28.7ST Ch. 28.7 - Prob. 28.8ST Ch. 28 - Prob. 1CQ Ch. 28 - Prob. 2CQ

Ch. 28 - Prob. 3CQ Ch. 28 - Prob. 4CQ Ch. 28 - Prob. 5CQ Ch. 28 - Prob. 6CQ Ch. 28 - Prob. 7CQ Ch. 28 - Prob. 8CQ Ch. 28 - Prob. 9CQ Ch. 28 - Prob. 10CQ Ch. 28 - Prob. 11CQ Ch. 28 - Prob. 12CQ Ch. 28 - Prob. 13CQ Ch. 28 - Prob. 14CQ Ch. 28 - Prob. 15CQ Ch. 28 - Prob. 16CQ Ch. 28 - Prob. 17CQ Ch. 28 - Prob. 18CQ Ch. 28 - Prob. 19CQ Ch. 28 - Prob. 20CQ Ch. 28 - Prob. 21CQ Ch. 28 - Prob. 22CQ Ch. 28 - Prob. 23CQ Ch. 28 - Prob. 24CQ Ch. 28 - Prob. 25CQ Ch. 28 - Prob. 26MCQ Ch. 28 - Prob. 27MCQ Ch. 28 - Prob. 28MCQ Ch. 28 - Prob. 29MCQ Ch. 28 - Prob. 30MCQ Ch. 28 - Prob. 31MCQ Ch. 28 - Prob. 32MCQ Ch. 28 - Prob. 33MCQ Ch. 28 - Prob. 34MCQ Ch. 28 - Prob. 35MCQ Ch. 28 - Prob. 1P Ch. 28 - Prob. 2P Ch. 28 - Prob. 3P Ch. 28 - Prob. 4P Ch. 28 - Prob. 5P Ch. 28 - Prob. 6P Ch. 28 - Prob. 7P Ch. 28 - Prob. 8P Ch. 28 - Prob. 9P Ch. 28 - Prob. 10P Ch. 28 - Prob. 11P Ch. 28 - Prob. 12P Ch. 28 - Prob. 13P Ch. 28 - Prob. 14P Ch. 28 - Prob. 15P Ch. 28 - Prob. 16P Ch. 28 - Prob. 17P Ch. 28 - Prob. 18P Ch. 28 - Prob. 19P Ch. 28 - Prob. 20P Ch. 28 - Prob. 21P Ch. 28 - Prob. 22P Ch. 28 - Prob. 23P Ch. 28 - Prob. 24P Ch. 28 - Prob. 25P Ch. 28 - Prob. 26P Ch. 28 - Prob. 27P Ch. 28 - Prob. 28P Ch. 28 - Prob. 29P Ch. 28 - Prob. 30P Ch. 28 - Prob. 31P Ch. 28 - Prob. 32P Ch. 28 - Prob. 33P Ch. 28 - Prob. 34P Ch. 28 - Prob. 35P Ch. 28 - Prob. 36P Ch. 28 - Prob. 37P Ch. 28 - Prob. 38P Ch. 28 - Prob. 39P Ch. 28 - Prob. 40P Ch. 28 - Prob. 41P Ch. 28 - Prob. 42P Ch. 28 - Prob. 43P Ch. 28 - Prob. 44P Ch. 28 - Prob. 45P Ch. 28 - Prob. 46P Ch. 28 - Prob. 47P Ch. 28 - Prob. 48P Ch. 28 - Prob. 49P Ch. 28 - Prob. 50P Ch. 28 - Prob. 51P Ch. 28 - Prob. 52P Ch. 28 - Prob. 53P Ch. 28 - Prob. 54P Ch. 28 - Prob. 55P Ch. 28 - Prob. 56P Ch. 28 - Prob. 57P Ch. 28 - Prob. 58P Ch. 28 - Prob. 59P Ch. 28 - Prob. 60P Ch. 28 - Prob. 61P Ch. 28 - Prob. 62P Ch. 28 - Prob. 63P Ch. 28 - Prob. 64P Ch. 28 - Prob. 65P Ch. 28 - Prob. 66P Ch. 28 - Prob. 67P Ch. 28 - Prob. 68P Ch. 28 - Prob. 69P Ch. 28 - Prob. 70P Ch. 28 - Prob. 71P Ch. 28 - Prob. 72P Ch. 28 - Prob. 73P Ch. 28 - Prob. 74P Ch. 28 - Prob. 75P Ch. 28 - Prob. 76P Ch. 28 - Prob. 77P Ch. 28 - Prob. 78P Ch. 28 - Prob. 79P Ch. 28 - Prob. 80P Ch. 28 - Prob. 81P Ch. 28 - Prob. 82P Ch. 28 - Prob. 83P Ch. 28 - Prob. 84P Ch. 28 - Prob. 85SPP Ch. 28 - Prob. 86SPP Ch. 28 - Prob. 87SPP Ch. 28 - Prob. 88SPP

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