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MHT CET 2024 (11 May, Shift 1) · Law of Radioactive Decay

Law of Radioactive Decay question from MHT CET 2024 (11 May, Shift 1)

Q24MHT CET 2024 · 11 MAY · SHIFT 1Difficult

Law of Radioactive Decay

If 'T' is the half life of a radioactive substance then its instantaneous rate of change of activity is proportional to

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Answer: (b)

$A = \lambda N$ , so $\dfrac{dA}{dt} = \lambda \dfrac{dN}{dt} = -\lambda^2 N$ .
$\lambda = \dfrac{\ln 2}{T} \Rightarrow \left|\dfrac{dA}{dt}\right| \propto \lambda^2 \propto T^{-2}$
So the answer is (b) $T^{-2}$ .

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