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A graph is plotted between rate of disintegration and number of active nuclei. What is half-life of the radioactive substance? (Time in second)

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By Expert Faculty of Sri Chaitanya
a
3s
b
13s
c
3 In 2s
d
In 23s

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detailed solution

Correct option is D

dNdt=−K[N]⇒K=1tan⁡30=3  Half life =ln⁡(2)K=ln⁡(2)3

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The half life period of a radioactive element X is same as the mean life time of another radioactive element Y. Initially both of them have the same number of atoms. Then

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