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JEE PHYSICS MCQ: NUCLEI

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Application +4 | -1
Consider a radioactive substance which decays, following the law of disintegration. At an instant t1t_1 its activity is RR and at time t2t_2 it becomes 1R\frac{1}{R}. Find the average life of radioactive substance, if t2>t1t_2 > t_1.
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Correct option: C
(t2−t1)2ln⁡(R)\frac{\left(t_2-t_1\right)}{2 \ln (R)}
Option C ((t2−t1)2ln⁡(R)\frac{\left(t_2-t_1\right)}{2 \ln (R)}) is correct because it correctly relates the average life to the given activities at times t1t_1 and t2t_2.

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