A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increases by 8 times, the intensity will [2026]

Question

A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increases by 8 times, the intensity will [2026]

Smart Achievers · Accepted Answer

(3)

$V \to 8 V \Rightarrow R \to 2 R$

$\Rightarrow A \to 4 A$

$\Rightarrow I \to \frac{I_{0}}{4}$

Solution

Q.
A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increases by 8 times, the intensity will [2026]

1 decrease by 8 times

2 increase by 8 times

3 decrease by 4 times

4 increase by 64 times

Ans.
(3)

$V \to 8 V \Rightarrow R \to 2 R$

$\Rightarrow A \to 4 A$

$\Rightarrow I \to \frac{I_{0}}{4}$

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