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A radioactive point source has a decay constant $λ$ . When this source moves towards small area counter kept at large distance from source, then counter records count/second which turns out to be constant:

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When separation between source and counter becomes half of initial value, number of nuclei left undecayed will be $\frac{3}{4} t h$ of initial value

When separation between source and counter becomes half of initial value, number of nuclei left undecayed will be $\frac{1}{4} t h$ of initial value

Graph showing variation of separation between source and counter with time is as shown Question Image

answer is B, C.

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Detailed Solution

$\frac{N}{r^{2}} = c o n s \tan t \frac{N_{0}}{r^{2}} = \frac{N_{0}}{4} N = \frac{N_{0}}{4} A l s o \frac{N_{0} e^{- λ t}}{r^{2}} = c o n s \tan t$

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