Explanation 1) Concept: By using the concept of de Broglie wavelength and mass of sodium atom, we can find the momentum of ion as well as de Broglie wavelength. 2) Formulas i) Wavelength, λ = h p , where p is momentum and h is Planck’s constant. ii) p = 2 m K iii) p = E c E is energy. iv) Kinetic energy of ion, K = q V 3) Given: i) Potential difference is, V = 300 V ii) Speed of light , c = 3 × 10 8 m / s iii) Mass of electron, m e = 9.11 × 10 - 31 k g iv) Charge of electron, q = 1.602 × 10 - 19 C v) Mass of sodium, 22.989 g / m o l vi) 1 m o l e = 6.02 × 10 23 a t o m s . 4) Calculation: a) The momentum of an ion can be found by finding kinetic energy and mass of single sodium ion. Kinetic energy of an ion is K = q V K = 1.602 × 10 - 19 × ( 300 ) K = 4

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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Chapter 38, Problem 49P

To determine

To find:

a) Momentum acquired by ion

b) De Broglie wavelength

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Chapter 38, Problem 48P

Chapter 38, Problem 50P

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Chapter 38 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

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a) Momentum acquired by ion b) De Broglie wavelength

Solution Summary: The author explains how momentum of an ion can be found by finding kinetic energy and mass of single sodium atom.

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To find: a) Momentum acquired by ion b) De Broglie wavelength

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Chapter 38 Solutions

To find:

a) Momentum acquired by ion

b) De Broglie wavelength