A) 10 days and 40 days
B) 20 days and 10 days
C) 5 days and 10 days
D) 20 days and 5 days
Correct Answer: D
Solution :
\[\because \,\,\,\,A\,\,=\,\,\lambda N\] \[10\,\,=\,\,{{\lambda }_{A}}(2{{N}_{0}})\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,;\,\,20\,\,=\,\,{{\lambda }_{B}}{{N}_{0}}\] \[\Rightarrow \,\,\,\frac{1}{4}\,\,=\,\,\frac{{{\lambda }_{A}}}{{{\lambda }_{B}}}\,\,=\,\,\frac{{{({{\lambda }_{1/2}})}_{B}}}{{{({{\lambda }_{1/2}})}_{A}}}\] Ratio of half life for A arid B is 4 : 1 So, option is correct.
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