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Waves question

2005 · Q169
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Waves question

2005 · Q169

NEETPhysicsWavesMCQ+4 / −1
A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2 m and 3 m respectively from the source. The ratio of the intensities of the waves at P and Q is
  1. A
    3 : 2
  2. B
    2 : 3
  3. C
    9 : 4
  4. D
    4 : 9
View written solutionFree

Correct answer: C

d1 = 2 m, d2 = 3 m

Intensity∝1(distance)2Intensity \propto {1 \over {{{\left( {distance} \right)}^2}}}Intensity∝(distance)21​

I1∝122{I_1} \propto {1 \over {{2^2}}}I1​∝221​ and I2∝132{I_2} \propto {1 \over {{3^2}}}I2​∝321​

∴I1I2=94 \therefore {{{I_1}} \over {{I_2}}} = {9 \over 4}∴I2​I1​​=49​

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