TS EAMCET · Physics · Nuclear Physics
A radioactive source has a half-life of \(6 \mathrm{~h}\). A freshly prepared sample of the same exhibits radioactivity 32 times the permissible safe value. The minimum time after which it would be possible to work safely with the source is
- A \(30 \mathrm{~h}\)
- B \(24 \mathrm{~h}\)
- C \(18 \mathrm{~h}\)
- D \(12 \mathrm{~h}\)
Answer & Solution
Correct Answer
(A) \(30 \mathrm{~h}\)
Step-by-step Solution
Detailed explanation
Activity of a radioactive sample reduced by half in one half-life. So, if \(s\) be the permissible safe value of source, then following cycle will be followed, Hence, sample becomes safe in 5 half-lives. i.e., \(T=5 \times 6=30 \mathrm{~h}\)
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