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Question

87Ra221 is a radioactive substance having half life of 4 days. Find the probability that a nucleus undergoes decay after two half lives
[IIT-JEE-2006]


A
1
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B
12
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C
34
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D
14
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Solution

The correct option is D 14
Ok, the probability that a nucleus undergoes decay after two half lives = No. of nuclei remaining.total number of nuclei

Now, after one half life, half the nuclei are remaining, after another one half life only half of that is remaining.

That is, 14th Nuclei, are remaining.
Probability=14N0N0=14.

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