Explanation Write the de Broglie equation to calculate the wavelength. λ = h p (I) Here, λ is wavelength, p is the moment and h is plank’s constant. Write the expression for the momentum, p = m v (II) Here, m is the mass of an element and v is the speed or velocity. Write the expression for kinetic energy. K = 1 2 m v 2 Here, K is kinetic energy. Manipulate the kinetic energy equation and find the expression in terms of m v . K = 1 2 m v 2 2 K = m v 2 ( 2 K ) m = ( m v 2 ) m 2 K m = m v Substitute 2 K m for m v in equation (II) to find p . p = 2 K m Differentiate the above expression with respect to K . d p d K = 2 m ( 1 2 K ) d p d K = 2 m 2 K K K d p = 2 m K 2 K d K Substitute Δ p for d p and Δ K for d K in above expression to find Δ p . Δ p = 2 m K 2 K Δ K Δ p = 1 2 2 m K Δ K K Write the expression for the uncertainty in the position from Heisenberg uncertainty principle. Δ x ≥ ℏ Δ p Here, Δ p is the uncertainty of the moment in the x direction, Δ x is the uncertainty in the position and h is the Plank’s constant

Physics for Scientists and Engineers (Chaps 1-38)

4th Edition

ISBN: 9780132275590

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Question

Chapter 38, Problem 14P

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The accuracy in the measurement of the position of an electron.

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Chapter 38, Problem 13P

Chapter 38, Problem 15P

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Chapter 38 Solutions

Physics for Scientists and Engineers (Chaps 1-38)

Ch. 38.3 - Prob. 1AE Ch. 38.8 - Prob. 1BE Ch. 38.8 - Prob. 1CE Ch. 38.9 - Prob. 1DE Ch. 38 - Prob. 1Q Ch. 38 - Prob. 2Q Ch. 38 - Prob. 3Q Ch. 38 - Prob. 4Q Ch. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q

Ch. 38 - Prob. 7Q Ch. 38 - Prob. 8Q Ch. 38 - Prob. 9Q Ch. 38 - Prob. 10Q Ch. 38 - Prob. 11Q Ch. 38 - Prob. 12Q Ch. 38 - Prob. 13Q Ch. 38 - Prob. 14Q Ch. 38 - Prob. 15Q Ch. 38 - Prob. 16Q Ch. 38 - Prob. 17Q Ch. 38 - Prob. 18Q Ch. 38 - Prob. 1P Ch. 38 - Prob. 2P Ch. 38 - Prob. 3P Ch. 38 - Prob. 4P Ch. 38 - Prob. 5P Ch. 38 - Prob. 6P Ch. 38 - Prob. 7P Ch. 38 - Prob. 8P Ch. 38 - Prob. 9P Ch. 38 - Prob. 10P Ch. 38 - Prob. 11P Ch. 38 - Prob. 12P Ch. 38 - Prob. 13P Ch. 38 - Prob. 14P Ch. 38 - Prob. 15P Ch. 38 - Prob. 16P Ch. 38 - Prob. 17P Ch. 38 - Prob. 18P Ch. 38 - Prob. 19P Ch. 38 - Prob. 20P Ch. 38 - Prob. 21P Ch. 38 - Prob. 22P Ch. 38 - Prob. 23P Ch. 38 - Prob. 24P Ch. 38 - Prob. 25P Ch. 38 - Prob. 26P Ch. 38 - Prob. 27P Ch. 38 - Prob. 28P Ch. 38 - Prob. 29P Ch. 38 - Prob. 30P Ch. 38 - Prob. 31P Ch. 38 - Prob. 32P Ch. 38 - Prob. 33P Ch. 38 - Prob. 34P Ch. 38 - Prob. 35P Ch. 38 - Prob. 36P Ch. 38 - Prob. 37P Ch. 38 - Prob. 38P Ch. 38 - Prob. 39P Ch. 38 - Prob. 40P Ch. 38 - Prob. 41P Ch. 38 - Prob. 42P Ch. 38 - Prob. 43P Ch. 38 - Prob. 44P Ch. 38 - Prob. 45P Ch. 38 - Prob. 46GP Ch. 38 - Prob. 47GP Ch. 38 - Prob. 48GP Ch. 38 - Prob. 49GP Ch. 38 - Prob. 50GP Ch. 38 - Prob. 51GP Ch. 38 - Prob. 52GP Ch. 38 - Prob. 53GP Ch. 38 - Prob. 54GP Ch. 38 - Prob. 55GP Ch. 38 - Prob. 56GP Ch. 38 - Prob. 57GP Ch. 38 - Prob. 58GP Ch. 38 - Prob. 59GP

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