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Question: The half life of a radioactive element which has only \(\frac{1}{32}\) of its original mass left aft...

The half life of a radioactive element which has only 132\frac{1}{32} of its original mass left after a lapse of 60 days is.

A

12 days

B

32 days

C

60 days

D

64 days

Answer

12 days

Explanation

Solution

N032=N0(12)60/T5=60TT=12\frac{N_{0}}{32} = N_{0}\left( \frac{1}{2} \right)^{60/T} \Rightarrow 5 = \frac{60}{T} \Rightarrow T = 12days.