Suppose a particle of mass m is confined to a

Problem 63P Chapter 27

Physics: Principles with Applications | 6th Edition

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Problem 63P

Suppose a particle of mass m is confined to a one-dimensional box of width L. According to quantum theory, the particle’s wave (with λ = h/mv) is a standing wave with nodes at the edges of the box. (a) Show the possible modes of vibration on a diagram. (b) Show that the kinetic energy of the particle has quantized energies given by KE = n2h2/8mL2, where n is an integer. (c) Calculate the ground-state energy (n = 1) for an electron confined to a box of width 0.50 × 10−10m. (d) What is the ground-state energy, and speed, of a baseball (m = 140 g) in a box 0.50 m wide? (e) An electron confined to a box has a ground-state energy of 22 eV. What is the width of the box?

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Goals • To study magnets and the forces they exert on each other • To calculate the force that a magnetic field exerts on a moving charge • To contrast magnetic field lines with electric field lines • To analyze the motion of a charged particle in a magnetic field • To see applications of magnetism in physics and chemistry • To analyze magnetic forces on current-carrying...

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ISBN: 9780130606204

The full step-by-step solution to problem: 63P from chapter: 27 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. This full solution covers the following key subjects: box, Energy, state, Ground, confined. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. Since the solution to 63P from 27 chapter was answered, more than 229 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6th. The answer to “Suppose a particle of mass m is confined to a one-dimensional box of width L. According to quantum theory, the particle’s wave (with ? = h/mv) is a standing wave with nodes at the edges of the box. (a) Show the possible modes of vibration on a diagram. (b) Show that the kinetic energy of the particle has quantized energies given by KE = n2h2/8mL2, where n is an integer. (c) Calculate the ground-state energy (n = 1) for an electron confined to a box of width 0.50 × 10?10m. (d) What is the ground-state energy, and speed, of a baseball (m = 140 g) in a box 0.50 m wide? (e) An electron confined to a box has a ground-state energy of 22 eV. What is the width of the box?” is broken down into a number of easy to follow steps, and 132 words.

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