Question

Asked Oct 2, 2019

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The loudness of a sound is inversely proportional to the square of your distance from the source of the sound. If your friend is right next to the speakers at a loud concert and you are four times as far away from the speakers, how does the loudness of the music at your position compare to the loudness at your friend's position?

Step 1

Let L be the loudness and x be the distance measured from source to the point where the loudness is to be measured.

Write the expression for Loudness in terms of x.

Step 2

Let L_{1} be the loudness and x_{1} be the distance from the source at the point the friend is standing, L_{2} be the loudness and x_{2} be the distance from the source at the point where we are standing.

Write the relation between x_{1 }and x_{2}.

Step 3

Compare the loudness with the help...

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