A source emits sound uniformly in all directions. A radialline is drawn from thi

Question

A source emits sound uniformly in all directions. A radialline is drawn from this source. On this line, determine the radialpositions of two points, 1.28 m apart, such that the intensitylevel at one point is 2.46 dB greater than that at the other.(a) What is the smaller radial position (in m)?(b) What is the larger radial position (inm)? Any help is appreciated thanks. A source emits sound uniformly in all directions. A radialline is drawn from this source. On this line, determine the radialpositions of two points, 1.28 m apart, such that the intensitylevel at one point is 2.46 dB greater than that at the other.(a) What is the smaller radial position (in m)?(b) What is the larger radial position (inm)? Any help is appreciated thanks.

Explanation / Answer

    the intensity level at each point is givenby     I = P / 4 r2     I1 / I2 = (r2 /r1)2     as the two intensity levels differ by 2.46dB     the intensity ratio is     I1 / I2 =100.246              = .......     r2 - r1 = 1.28 m     solve for r1 and r2

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