Explanation Given data: The tree is 15 m tall. The height of the person is 1.7 m Formula used: Write the expression for intensity. I = Δ E Δ t ⋅ A Here, I is the intensity of the sound, Δ E is the change in energy, Δ t is the change in time, and A is the area. The energy of a three-dimensional wave produced by a point source is expressed as: E ∝ 1 r 2 Here, r is the distance from the source which emits the sound around itself in a circle. Explanation: Intensity at the top of a 15 m high tree is 10 times less than when you are standing at the bottom of the tree. Assume the intensity at the far point to be I 2 . So, the intensity at the bottom of the tree is: I 1 = ( 10 I 2 − I 2 ) = 9 I 2 Here, I 1 is the intensity at the bottom of the tree. The expression for the intensity of the sound when a person is at the bottom of the tree is, I 1 = Δ E 1 Δ t . A Δ E 1 = I 1 Δ t A Substitute, 9 I 2 for I 1 . Δ E 1 = 9 I 2 Δ t A Again, the expression for the intensity of the sound when a person is at a far distance

College Physics: Explore And Apply, Volume 2 (2nd Edition)

2nd Edition

ISBN: 9780134862910

Author: Eugenia Etkina, Gorazd Planinsic, Alan Van Heuvelen, Gorzad Planinsic

Publisher: PEARSON

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Chapter 11, Problem 23P

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The distance from the tree you should stand so that the you hear a sound with intensity 10 times lower than the intensity produced, if the cicada is at the top of the tree of height 15.0 m.

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Chapter 11, Problem 22P

Chapter 11, Problem 24P

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College Physics: Explore And Apply, Volume 2 (2nd Edition)

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The distance from the tree you should stand so that the you hear a sound with intensity 10 times lower than the intensity produced, if the cicada is at the top of the tree of height 15.0 m .

Solution Summary: The author explains how to determine the distance from the tree and the intensity of the sound when a person is at the bottom.

The distance from the tree you should stand so that the you hear a sound with intensity 10 times lower than the intensity produced, if the cicada is at the top of the tree of height 15.0 m.

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Chapter 11 Solutions