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  • A point source emits sound equally in all directions in a non- absorbing medium. Two point M and N are at a distance of X cm and Y sm respectively from the source. The ratio of the intensities of t

A point source emits sound equally in all directions in a non- absorbing medium. Two point M and N are at a distance of X cm and Y sm respectively from the source. The ratio of the intensities of the wave 25:16. Find the value of X and Y.

Option: 1

4 cm , 5  cm


Option: 2

3  cm, 5  cm


Option: 3

2  cm, 3  cm


Option: 4

1  cm, 5  cm


Answers (1)

best_answer

\begin{aligned} & \frac{I M}{I N}=\frac{d N^2}{d m^2} \\ & \frac{25}{16}=\left(\frac{d N}{d M}\right)^2 \\ & \frac{d N}{d M}=\frac{5}{4} \\ & \frac{d M}{d N}=\frac{4}{5} \\ &X =4 \mathrm{~cm} \text { and } Y=5 \mathrm{~cm} \end{aligned}

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sudhir kumar

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