KCET · Physics · Nuclear Physics
The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is
- A \(\frac{1}{4}\)
- B \(\frac{1}{2 \sqrt{2}}\)
- C \(\frac{1}{2}\)
- D \(\frac{1}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
\(N_{0}=2^{n} N\)
\(N=\frac{N_{0}}{2^{n}}=\frac{N_{0}}{2^{4 / 2}}=\frac{N_{0}}{\sqrt{2}}\)
\(N=\frac{N_{0}}{2^{n}}=\frac{N_{0}}{2^{4 / 2}}=\frac{N_{0}}{\sqrt{2}}\)
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