A small loudspeaker radiates sound uniformly in all directions

PHYSICS · Single correct · CBSE · Physics · Sound · Sound

Problem

A small loudspeaker radiates sound uniformly in all directions. A microphone placed 2.0 m from the speaker measures a sound intensity I0I_0. When the microphone is moved to 6.0 m from the speaker, the intensity drops to I0/9I_0/9. The speaker’s vibration amplitude is then increased by a factor of 4 while the microphone remains 6.0 m away. Assuming no other changes, which of the following is closest to the new intensity measured by the microphone, expressed as a multiple of I0I_0? (a) 4I09\dfrac{4I_0}{9} (b) 16I09\dfrac{16I_0}{9} (c) I09\dfrac{I_0}{9} (d) 16I081\dfrac{16I_0}{81}

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