Explanation 1) Concept: We know the formula for the energy of the photon. Form this, we can find the λ . We are given the relation between energy of photon and energy of scattered photons. From this, we can find the energy of the scattered photons. From this, we can find the wavelength of the scattered photons. Now using the formula for Compton shift. we can find the angle. 2) Formula: i) E = h c λ ii) ∆ λ = h m c 1 - cos ⁡ ϕ 3) Given: i) E = 200 k e V = 200 × 10 3 × 1.6 × 10 - 19 J = 320 × 10 - 16 J ii) E ' = 0.9 E 4) Calculation: We have E = h c λ We rearrange the equation to calculate value for λ : λ = h c E Substituting the values, we get λ = 6.63 × 10 - 34 × 3 × 10 8 320 × 10 - 16 λ = 6.22 × 10 - 12 m We have E ' = 0.9 E h c λ ' = 0.9 h c λ 1 λ ' = 0.9 λ λ ' = λ 0.9 λ ' = 6

Fundamentals of Physics Extended 10e Binder Ready Version + WileyPLUS Registration Card

10th Edition

ISBN: 9781118732090

Author: David Halliday

Publisher: Wiley (WileyPLUS Products)

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Chapter 38, Problem 39P

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The angle through which the proton should be scattered

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Chapter 38, Problem 38P

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Chapter 38 Solutions

Fundamentals of Physics Extended 10e Binder Ready Version + WileyPLUS Registration Card

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The angle through which the proton should be scattered

Solution Summary: The author explains that the angle through which the proton should be scattered is 44°.

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To find: The angle through which the proton should be scattered

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Chapter 38 Solutions

To find:

The angle through which the proton should be scattered