MHT CET · Physics · Nuclear Physics
The half of a radioactive substance is 25 minutes The time between \(50 \%\) decay and \(87.5 \%\) decay of the substance will be
- A 75 min
- B \(25 \mathrm{~min}\)
- C \(37.5 \mathrm{~min}\)
- D \(50 \mathrm{~min}\)
Answer & Solution
Correct Answer
(D) \(50 \mathrm{~min}\)
Step-by-step Solution
Detailed explanation
For \(50 \%\) decay, time is equal to one half-life.
For \(87.5 \%\) decay, time is three half - lives.
\(\therefore\) Time interval \(\Delta \mathrm{t}=2\) half - lives.
\(\Delta t=2 \times 25 \mathrm{~min}=50 \mathrm{~min}\)
For \(87.5 \%\) decay, time is three half - lives.
\(\therefore\) Time interval \(\Delta \mathrm{t}=2\) half - lives.
\(\Delta t=2 \times 25 \mathrm{~min}=50 \mathrm{~min}\)
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