TS EAMCET · Physics · Nuclear Physics
The half-life of a radioactive sample is \(5 \mathrm{~s}\). If the initial mass of the sample is \(60 \mathrm{~g}\), then the time required to reduce the sample to \(7.5 \mathrm{~g}\) is
- A \(15 \mathrm{~s}\)
- B \(75 \mathrm{~s}\)
- C \(7.5 \mathrm{~s}\)
- D \(10 \mathrm{~s}\)
Answer & Solution
Correct Answer
(A) \(15 \mathrm{~s}\)
Step-by-step Solution
Detailed explanation
Decay scheme of given sample is as shown below So, time required by sample to reduced to \(7.5 \mathrm{~g}\) is \(\Delta t=3 \times T_{1 / 2}=3 \times 5=15 \mathrm{~s}\)
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