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A radioactive isotope decays at such a r...

A radioactive isotope decays at such a rate that after 192 minutes only 1/16 of the original amount remains. The half life of the radioactive isotope is

A

32 min

B

48 min

C

12 min

D

24 min

Text Solution

Verified by Experts

The correct Answer is:
B
`(N)/(N_(0))=(1)/(16)`
Now, `(N_(0))/(N)=2^(n)`
`therefore 16=2^(n) implies n=4`
`therefore` Half life`=(192)/(4)=48` min
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