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JIPMER 2007
Exam
JIPMER
Year
2007
Subject
Physics
Chapter
Waves and Sound

JIPMER 2007 · Physics · Waves and Sound

A point source emits sound equally in all directions in a...

A point source emits sound equally in all directions in a non-absorbing medium. Two points PP and QQ are at distance of 2 m and 3 m respectively from the source. The ratio of the intensities of the waves at PP and QQ is

Options

  1. A9:49: 4
  2. B2:32: 3
  3. C3:23: 2
  4. D4:94: 9

Correct answer

A. 9:49: 4

Step-by-step solution

The average power per unit area that is incident perpendicular to the direction of propagation is called the intensity. Intensity of sound I=P4πr2I=\frac{P}{4 \pi r^2} or, I∝1r2I \propto \frac{1}{r^2} or, I1I2=(r2r1)2\frac{I_1}{I_2}=\left(\frac{r_2}{r_1}\right)^2 here, r1=2 m,r2=3 mr_1=2 \mathrm{~m}, r_2=3 \mathrm{~m} Substituting the values, we have I1I2=(32)2=94\frac{I_1}{I_2}=\left(\frac{3}{2}\right)^2=\frac{9}{4}
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