AP EAMCET · PHYSICS · Nuclear Physics
A radioactive element \(X\) converts into another stable element \(Y\). Half life of \(X\) is 2 hours. Initially only \(X\) is present. After a time \(t\), if the ratio of atoms of \(X\) to \(Y\) is \(1: 4\), then the value of \(t\) is
- A 2 hours
- B 4 hours
- C between 4 hours and 6 hours
- D 6 hours
Answer & Solution
Correct Answer
(C) between 4 hours and 6 hours
Step-by-step Solution
Detailed explanation
Initially at \(t=0\), amount of \(X\) in sample \(=5 X\) After time ' \(t\) ' amount of \(X\) remained in sample \(=X\) From, \(\frac{N}{N_0}=\left(\frac{1}{2}\right)^{\frac{t}{T}}\) We have,…
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