Explanation 1) Concept: We can find the path difference between the direct and reflected wave. Then using the conditions for constructive and destructive interference, we can find two equations. Solving them will give us λ in terms of d, h, and H. 2) Formulae: i) For constructive interference, ∆ x λ = n ii) For destructive interference, ∆ x λ = n + 1 2 3) Given: i) Wavelength of sound emitted isotopically by point source is 0.850 m . ii) L = 10.0 m . iii) Reflection shifts the sound wave by 0.500 λ . 4) Calculations: When the waves are reflected from the layer in the atmosphere, which is at height H, then using Pythagorean Theorem, the path difference between direct and reflected wave is ∆ x = H 2 + d 2 2 + H 2 + d 2 2 - d 2 + d 2 ∆ x = 2 H 2 + d 2 2 - d For constructive interference, ∆ x λ = n where, n = 0,1 , 2 , … ∴ 2 H 2 + d 2 2 - d = n λ … … … … … … … …

11th Edition

ISBN: 9781119813293

Author: Halliday

Publisher: WILEY

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Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

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Chapter 17, Problem 108P

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Express λ in terms of d, h, and H.

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Chapter 17, Problem 107P

Chapter 17, Problem 109P

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Chapter 17 Solutions

FUNDAMENTALS OF PHYSICS EXTEND 11E

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Express λ in terms of d, h, and H.

Solution Summary: The author explains that they can find the path difference between the direct and reflected wave, and solve the conditions for constructive and destructive interference.

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To find: Express λ in terms of d, h, and H.

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Chapter 17 Solutions

To find:

Express λ in terms of d, h, and H.