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The half-life of a radioactive element w...

The half-life of a radioactive element which has only `(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

Text Solution

Verified by Experts

The correct Answer is:
A
We know, after n half -life, undecayed nuclei left are,
`N=N_(0)((1)/(2))^(n),t=nt_(1//2)`
We have, `(N_(0))/(32)=N_(0)((1)/(2))^(60//T)implies5=(60)/(T)`
`implies` Half- life of a radioactive element, T=120 days
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