Explanation Given data: Difference between electron first and second allowed energies is 1 × 10 − 19 J Formula used: Difference in energy is given by, E n + 1 − E n = h 2 8 m L 2 ( ( n + 1 ) 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, n is the energy levels, n + 1 is the energy of next levels, E n + 1 is the energy of next level, and E n is the energy of that level. Explanation: Substitute 6.63 × 10 − 34 J ⋅ s for h , 9.11 × 10 − 31 Kg for m , 1 for n , 2 for n + 1 and 1 × 10 − 19 J for E 2 − E 1 in equation (1), E 2 − E 1 = ( 6.63 × 10 − 34 J ⋅ s ) 2 8 × 9.11 × 10 − 31 Kg × L 2 ( ( 2 ) 2 − 1 2 ) 1 × 10 − 19 J = ( 6

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Author: Randall Knight, Brian Jones

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Chapter 28, Problem 70GP

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The length of the box.

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Chapter 28, Problem 69GP

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Chapter 28 Solutions