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A person is standing at a distance D from an isotropic point source of sound. He walks 50.0 m towards the source and observes that the intensity of the sound has doubled. His initial distance D from the source is

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a

502 m

b

5022-1m

c

502-1m

d

1002 m

answer is B.

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Detailed Solution

Using P4πR2 = I⇒P4π(D-50)2P4πD2 = 21 ⇒ D2(D-50)2 = 2⇒D = 2(D-50) ⇒ (2-1)D = 502⇒D = 5022-1 = 170.7 m

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A person is standing at a distance D from an isotropic point source of sound. He walks 50.0 m towards the source and observes that the intensity of the sound has doubled. His initial distance D from the source is