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A radioactive nucleus of mean life T is being produced at a rate 'α'. Then rate of production of active nuclei will be equal to rate of disintegration when number of active nuclei will be equal to

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a

αT

b

αT

c

2αT

d

Tα

answer is B.

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Detailed Solution

If N be the number of active nuclei at time t, then at that instant rate of disintegration = λ.N∴λN=α⇒N=αλ=αT

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