Geometrical OpticsHard

Question

A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased by 8 times, the intensity will

Options

A.increase by 8 times
B.increase by 64 times
C.decrease by 8 times
D.decrease by 4 times

Solution

$V \rightarrow 8\text{ }V \Rightarrow R \rightarrow 2R$

$${\Rightarrow A \rightarrow 4\text{ }A }{\Rightarrow I \rightarrow \frac{I_{0}}{4}}$$

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