MHT CET · Physics · Nuclear Physics
Two radioactive materials A and B having decay constant '7 \(\lambda\) ' and ' \(\lambda\) ' respectively, initially have same number of nuclei. The time taken to have the ratio of number of nuclei of material B to that of A as ' e ' is
- A \(\frac{1}{\lambda}\)
- B \(\frac{1}{6 \lambda}\)
- C \(\frac{1}{7 \lambda}\)
- D \(\frac{1}{8 \lambda}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{6 \lambda}\)
Step-by-step Solution
Detailed explanation
\( N_A(t) = N_0 e^{-7\lambda t} \) \( N_B(t) = N_0 e^{-\lambda t} \)
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