Explanation Given data: Energy of box 1 is 1.28 eV. Energy of box 2 is 2.88 eV. Formula used: Consider the expression of energy. E = h 2 8 m L 2 n 2 (1) Here, h is the planks constant, which has a standard value as 6.63 × 10 − 34 J ⋅ s , m is mass of electron, which has a standard value as 9.11 × 10 − 31 kg , L is the length of box, and n is the energy levels. Explanation: For box 1, As smallest length is required n is 1. Consider the conversion factor for eV to J. 1.6 × 10 − 19 J = 1 eV Convert the energy into J by using conversion factor. E = 1.28 × 1.6 × 10 − 19 J = 2 .05 × 10 − 19 J Substitute 6.63 × 10 − 34 J ⋅ s for h , 9.11 × 10 − 31 kg for m , 1 for n , and 2 .05 × 10 − 19 J for E in equation (1), 2 .05 × 10 − 19 J = ( 6.63 × 10 − 34 J ⋅ s ) 2 8 × 9.11 × 10 − 31 kg × L 2 ( 1 2 ) L 2 = ( 6.63 × 10 − 34 J ⋅ s ) 2 8 × 9.11 × 10 − 31 kg × 2 .05 × 10 − 19 J L = ( 6.63 × 10 − 34 J ⋅ s ) 2 8 × 9.11 × 10 − 31 kg × 2 .05 × 10 − 19 J L = 5.4 × 10 − 10 m For box 2, As smallest length is required n is 1. Consider the conversion factor for eV to J. 1.6 × 10 − 19 J = 1 eV Convert the energy value into J by using conversion factor

Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)

3rd Edition

ISBN: 9780321908865

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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de Broglie Equation

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Chapter 28, Problem 77GP

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The smallest possible length of the box.

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Chapter 28, Problem 76GP

Chapter 28, Problem 78GP

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When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of = (0.3t) ft/s², where t is in seconds. Take p = 360 ft. (Figure 1) Part A 60° Ρ B If he starts from rest at A, determine the magnitude of his velocity when he reaches B. Express your answer to three significant figures and include the appropriate units. v = Value Submit Request Answer ་ Part B ? Units If he starts from rest at A, determine the magnitude of his acceleration when he reaches B. Express your answer to three significant figures and include the appropriate units. 11 ? a = Value Units

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Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)

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