Explanation Introduction: The expression for the intensity of power is: I = P A . Here, P is the power of the source and A is the area of the region through which this power passes. The expression of the area of the circle is: A = π r 2 . Here, r is the radius of the circle. Explanation: Reason for the correct option: Recall the expression for the intensity of power. I = P A . The expression of the area of the circle is: A = π r 2 . The area through which the intensity passes will be in circular shape. Combine the expression of circle and intensity. I = P π r 2 P = I ( π r 2 ) I = P π r 2 The power of the source is the same. So, for this source the position where the sound does not reach the threshold intensity is: I I ′ 2 = r ′ 2 r 2 . Here, I is the intensity at 1 m from the source, r is the distance which is provided as 1 m , I ′ is the power at the position where intensity of the sound is equivalent to its threshold intensity. Substitute 10 − 5 N / m 2 for I , 1 m for r , and 10 − 12 N / m 2 for I ′

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ISBN: 9780134862897

Author: ETKINA

Publisher: PEARSON

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Chapter 11, Problem 86RPP

To determine

The distance at which a person should stand away from a speaker to avoid listening to the music, when the intensity of the sound is 1 m away from the speaker is 10−5 N/m2, and the threshold of hearing is 10−12 N/m2.

a. About 3 m away.

b. About 30 m away.

c. About 3 km away.

d. It depends on the size of the speaker.

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Chapter 11, Problem 85RPP

Chapter 11, Problem 87RPP

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Chapter 11 Solutions

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Solution Summary: The author explains that the expression for the intensity of power is: I=PA and A is the area of the region through which this power passes.

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