(a) Explanation Given info: The final distance between the point source and observer is one third of the initial distance between the source and the observer. The formula to calculate the initial intensity is, I = P A (1) Here, I is the initial intensity. P is the power of the sound wave. A is the initial area. The formula to calculate the initial area is, A = π r 2 . (2) Here, r is the initial distance between the source and observer. Substitute π r 2 for A in equation (1) I = P π r 2 . (3) The formula to calculate the final intensity is, I ′ = P A ′ . (4) Here, I ′ is the final intensity. A ′ is the final area. The final area is, A ′ = π ( r ′ ) 2 Here, ( r ′ ) 2 is the final distance between the source and observer. Substitute π ( r ′ ) 2 for A ′ in equation (3) (b) To determine The increase in the intensity level when the distance between the source and observer is one third the initial distance.

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ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

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Chapter 14, Problem 36PCE

(a)

To determine

The multiplicative factor by which the intensity is increased.

(b)

To determine

The increase in the intensity level when the distance between the source and observer is one third the initial distance.

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Chapter 14, Problem 35PCE

Chapter 14, Problem 37PCE

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The multiplicative factor by which the intensity is increased.

Solution Summary: The author explains the multiplicative factor by which the intensity is increased.

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The multiplicative factor by which the intensity is increased.

The increase in the intensity level when the distance between the source and observer is one third the initial distance.

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