Explanation Given data: Length of the box is 0.85 nm. Initial energy level of the electron is 1. Formula used: Write the expression for minimum energy of confined electron. E n = h 2 8 m L 2 n 2 (1) Here, E n is the energy, h is the plank’s constant with value 6.63 × 10 − 34 J ⋅ s , m is the mass of the electron, n is the integral multiple, and L is the length of the box. Write the expression for photon’s energy and wavelength. Δ E = h c λ (2) Here, h is the plank’s constant with value 6.63 × 10 − 34 J ⋅ s , c is the speed of light with value 3.0 × 10 8 m s , and λ is the wavelength. Explanation: Energy is the difference between the final and initial energy level. Consider the expression. Δ E 1 → n = h 2 8 m L 2 ( n 2 − 1 ) (3) Combining equation (3) and (2). h c λ = h 2 8 m L 2 ( n 2 − 1 ) λ = 8 m c L 2 h ( n 2 − 1 ) Substitute 9.11 × 10 − 31 kg for m , 3.0 × 10 8 m s for c , ( 0.85 × 10 − 9 m ) 2 for L , 6.63 × 10 − 34 J ⋅ s for h , λ 1 → n = 8 ( 9.11 × 10 − 31 kg ) ( 3.0 × 10 8 m s ) ( 0.85 × 10 − 9 m ) 2 ( 6.63 × 10 − 34 J ⋅ s ) ( n 2 − 1 ) (4) For n = 2 , substitute 2 for n in equation (5), λ 1 → 2 = 8 ( 9.11 × 10 − 31 kg ) ( 3.0 × 10 8 m s ) ( 0

College Physics: A Strategic Approach (4th Edition)

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ISBN: 9780134609034

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

Publisher: PEARSON

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Lasers are devices that emit light using atoms or molecules at a certain wavelength and amplify the light to produce a narrow beam of radiation. It works as per the principle of electromagnetic radiation. Their source of emission contains the same freque…

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The spectrum of frequency observed when electromagnetic radiation is emitted from an atom when it goes from higher energy state to lower state, is known as emission spectrum. This transition occurs when an excited electron moves from higher to lower stat…

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Every state of matter tries to be at minimum potential energy or it can be said that the atoms of element/ substance arrange themselves such that overall energy is minimum.

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Chapter 28, Problem 52P

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The three longest wavelengths absorbed by the molecule.

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Chapter 28, Problem 51P

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Chapter 28 Solutions

College Physics: A Strategic Approach (4th Edition)

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The three longest wavelengths absorbed by the molecule.

Solution Summary: The author explains the three longest wavelengths absorbed by the molecule: 790, 300, and 160 nm. Energy is the difference between the final and initial energy levels.

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The three longest wavelengths absorbed by the molecule.

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Chapter 28 Solutions