JEE Mains · Physics · STD 12 - Nuclei
- JEE Mains 2023
- Easy
- MCQ
Two radioactive elements \(A\) and \(B\) initially have same number of atoms. The half life of \(A\) is same as the average life of \(B\). If \(\lambda_A\) and \(\lambda_B\) are decay constants of \(A\) and \(B\) respectively, then choose the correct relation from the given options.
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(\lambda_{ A }=\lambda_{ B } \ln 2\)
Step-by-step Solution
Detailed explanation
\(T_{1 / 2}(A)=T_{w N}(B)\)
\(\frac{\ln 2}{\lambda_{ A }}=\frac{1}{\lambda_{ B }}\)
\(\lambda_{ A }=\lambda_{ B } \ell 2\)
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