Explanation 1) Concept: Necessary condition for circular motion can be used to find the speed of electron moving in magnetic field because we know the product of field and radius of path. Also we know the expression of maximum kinetic energy of electron, which can be used to find work required to remove the electron from the gold atom. 2) Formula: i) Radius of circle traced by electron in presence magnetic field r = m e v e B ii) Kinetic energy of electron K = 1 2 m e v 2 iii) Work required to remove the electron from the atom W = ϵ - K m a x iv) Energy of photon ϵ = h c λ 3) Given: i) Wavelength of x ray, λ = 71 p m = 71 × 10 - 3 n m ii) B r = 1.88 × 10 - 4 T m where r is the radius of circular path. 4) Calculations: a) The electron will move in a circular orbit if the magnetic force provides the necessary centripetal force. Therefore, e B v = m e v 2 r where r , m e , a n d v are radius, mass and speed of electron in the circular orbit respectively

11th Edition

ISBN: 9781119459132

Author: Halliday

Publisher: WILEY

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Question

Chapter 38, Problem 21P

To determine

To find:

a) Maximum kinetic energy of electron

b) Work done in removing electron from the gold atom

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Chapter 38, Problem 20P

Chapter 38, Problem 22P

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Chapter 38 Solutions

FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS

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a) Maximum kinetic energy of electron b) Work done in removing electron from the gold atom

Solution Summary: The author explains how the required condition for circular motion can be used to find the speed of electron moving in magnetic field.

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To find: a) Maximum kinetic energy of electron b) Work done in removing electron from the gold atom

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Chapter 38 Solutions

To find:

a) Maximum kinetic energy of electron

b) Work done in removing electron from the gold atom