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Question

If the intensity of a wave at a distance r from a point source is A, the intensity at distance 2r will be-

A
2A
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B
A
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C
A2
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D
A4
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Solution

The correct option is D A4
Intensity is given by,

I=powerarea

I=P4πr2

I1r2

I1I2=(r2r1)2

Here, r1=r ; r2=2r ; I1=A

I1I2=(2rr)2

I2=A4

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (D) is the correct answer.

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