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A radioactive element decays by β –emission. A β –counter shows a count of (X) in a time equal to one mean life of the element. The same counter shows Y counts in a time equal to three times the mean life. The percentage change, in the number of counts, in the time interval (τ) to (3τ) ( τ = mean life), is

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Correct option : (2)

Explanation :

The total number of counts at any time is the number of nuclei that have disintegrated in that time. Therefore, if bar τ is the mean life of the element, we have

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