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The intensity of the sound, I watts/m², received from a loudspeaker is
inversely proportional to the square of the distance, d metres, from the
loudspeaker.
When d = 2,1 = 30
Work out the value of I when d = 10


PLEASE HELP

Sagot :

absor201

Answer:

The value of I for d = 10 will be 1.2 watts/m^3

Step-by-step explanation:

Let I be the intensity of sound and d be the distance

According to given statement, "The intensity of the sound, I watts/m², received from a loudspeaker is  inversely proportional to the square of the distance, d meters, from the  loudspeaker. "

[tex]I \propto \frac{1}{d^2}[/tex]

Removing the proportionality symbol

[tex]I = \frac{k}{d^2}[/tex]

Putting d = 2 and I = 30

[tex]30 = \frac{k}{(2)^2}\\30 = \frac{k}{4}\\k = 30*4\\k = 120[/tex]

Putting the value of k in the equation

[tex]I = \frac{120}{d^2}[/tex]

Putting d = 10

[tex]I = \frac{120}{(10)^2}\\I = \frac{120}{100}\\I = 1.2[/tex]

Hence,

The value of I for d = 10 will be 1.2 watts/m^3

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