Nuclear Physics and RadioactivityHard

Question

The half life of a radioactive nucleus is 50 days. The time interval (t2 - t2) between the time t2 when of it has decayed and the time t1 when of it had decayed is:

Options

A.15 days
B.30 days
C.50 days
D.60 days

Solution

No = Noe-λt1               ......(i)
No = Noe-λt2               ......(ii)
eqution (i) and (ii)       2 = e-λt1 + λt2
                                     2 = eλ(t2 - λt1)
log 2 =λ (t2 - t1)
= t2 - t1 = t1/2 = 50 days.

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