Explanation Given data: First order bright fringe θ A is 1.6 × 10 − 4 degrees . The magnitude of electron momentum p A is 1.2 × 10 − 22 kg ⋅ m s . The fringe angle θ B is 4.0 × 10 − 4 degrees . Formula used: Write the expression for de Broglie wavelength. λ = h p (1) Here, p is the momentum, and h is the Planck’s constant and has the value 6.63 × 10 − 34 J ⋅ s . Write the expression for bright fringes of a double slit. sin θ = m λ d (2) Here, m is order of the fringe, m = 0 , 1 , 2 , 3 , … , λ is the wavelength, and d is distance between the splits. Explanation: In first order fringe, the value of m is 1 . Substitute 1 for m in equation (2), sin θ = ( 1 ) λ d = λ d Substitute h p for λ , sin θ = h d p (3) Modify equation (3) for “A” as follows. sin θ A = h d p A Modify equation (3) for “B” as follows. sin θ B = h d p B Find the ratio of sin θ A sin θ B . sin θ A sin θ B = ( h d p A ) ( h d p B ) sin θ A sin θ B = p B p A p B = p A sin θ A sin θ B Substitute 1

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ISBN: 9781119326342

Author: CUTNELL

Publisher: WILEY

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Question

Chapter 29, Problem 30P

To determine

The momentum magnitude pB .

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Chapter 29, Problem 29P

Chapter 29, Problem 31P

Chapter 29 Solutions

Physics

Ch. 29.3 - Prob. 1CYU Ch. 29.3 - Prob. 2CYU Ch. 29.3 - Prob. 3CYU Ch. 29.3 - Prob. 4CYU Ch. 29.3 - Prob. 5CYU Ch. 29.3 - Prob. 6CYU Ch. 29.4 - Prob. 7CYU Ch. 29.4 - Prob. 8CYU Ch. 29.4 - Prob. 9CYU Ch. 29.5 - Prob. 11CYU

Ch. 29 - Prob. 1FC Ch. 29 - Prob. 2FC Ch. 29 - Prob. 5FC Ch. 29 - Prob. 6FC Ch. 29 - Prob. 9FC Ch. 29 - Prob. 13FC Ch. 29 - Prob. 16FC Ch. 29 - Prob. 1P Ch. 29 - Prob. 2P Ch. 29 - Prob. 3P Ch. 29 - Prob. 4P Ch. 29 - Prob. 5P Ch. 29 - Prob. 6P Ch. 29 - Prob. 7P Ch. 29 - Prob. 8P Ch. 29 - Prob. 9P Ch. 29 - Prob. 10P Ch. 29 - Prob. 11P Ch. 29 - Prob. 12P Ch. 29 - Prob. 13P Ch. 29 - Prob. 15P Ch. 29 - Prob. 16P Ch. 29 - Prob. 17P Ch. 29 - Prob. 18P Ch. 29 - Prob. 19P Ch. 29 - Prob. 20P Ch. 29 - Prob. 21P Ch. 29 - Prob. 22P Ch. 29 - Prob. 23P Ch. 29 - Prob. 25P Ch. 29 - Prob. 26P Ch. 29 - Prob. 28P Ch. 29 - Prob. 29P Ch. 29 - Prob. 30P Ch. 29 - Prob. 31P Ch. 29 - Prob. 32P Ch. 29 - Prob. 33P Ch. 29 - Prob. 34P Ch. 29 - Prob. 35P Ch. 29 - Prob. 36P Ch. 29 - Prob. 37P Ch. 29 - Prob. 38P Ch. 29 - Prob. 39P Ch. 29 - Prob. 40P Ch. 29 - Prob. 41P Ch. 29 - Prob. 42P Ch. 29 - Prob. 43AP Ch. 29 - Prob. 45AP Ch. 29 - Prob. 46AP Ch. 29 - Prob. 47AP Ch. 29 - Prob. 48AP Ch. 29 - Prob. 52CCP Ch. 29 - Prob. 53CCP Ch. 29 - Prob. 54TP Ch. 29 - Prob. 55TP

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