Explanation 1) Concept: By using the formula of Rayleigh’s criterion, we can find the central beam at the target. To find the ratio of beam intensity, we can consider the ratio of diameter of beam at the end of the wire and at the target. 2) Given: i) Nuclear-pumped X-ray lasers are seen as a possible weapon to destroy ICBM booster rockets, at ranges up to 2000 km. ii) One limitation of this device is the spreading of the beam due to diffraction, resulting in dilution of the beam intensity. iii) A laser is operating with a wavelength, λ = 1.40 × 10 - 9 m iv) The element that is emitting this light, is at the end of a wire of diameter d = 2.00 × 10 - 3 m v) The laser is fired from space, so neglect any atmospheric absorption. 3) Formulas θ R = 1.22 λ d = D L 4) Calculation a) We know the Rayleigh’s angle: θ R = 1.22 λ d = D L 1.22 1.40 × 10 - 9 2.00 × 10 - 3 = D 2000 × 10 3 D = 1

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Chapter 36, Problem 33P

To determine

To calculate:

a) the diameter of central beam at a target 2000 km away from the beam source.

b) the ratio of beam intensity at the target to that at the end of the wire.

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Chapter 36, Problem 32P

Chapter 36, Problem 34P

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a) the diameter of central beam at a target 2000 km away from the beam source. b) the ratio of beam intensity at the target to that at the end of the wire.

Solution Summary: The author calculates the diameter of the central beam at a target 2000 km away from the beam source.

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To calculate: a) the diameter of central beam at a target 2000 km away from the beam source. b) the ratio of beam intensity at the target to that at the end of the wire.

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Chapter 36 Solutions

To calculate:

a) the diameter of central beam at a target 2000 km away from the beam source.

b) the ratio of beam intensity at the target to that at the end of the wire.