Question #90846
You are standing at a distance of 10.0 m from a speaker. The sound intensity is some value. You walk to a distance 4 times farther. How is the sound intensity affected?
1
Expert's answer
2019-06-19T10:25:42-0400

In accordance with the law of conservation of energy

I4πR2=const,I\cdot4\pi R^{2} = const,

respectively

I2=I1(R1R2)2=I116,I_2 = I_1(\frac{R_1}{R_2})^{2} = \frac{I_1}{16},

i.e. intensity will decrease by 16 times.


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