A) \[\lambda T=1\]
B) \[\lambda T=0.693\]
C) \[\frac{T}{\lambda }=0.693\]
D) \[\frac{\lambda }{T}=0.693\]
Correct Answer: B
Solution :
By using \[N={{N}_{0}}{{e}^{-\lambda t}}\] Þ \[\frac{{{N}_{0}}}{2}={{N}_{0}}{{e}^{-\lambda \,{{T}_{1/2}}}}\]Þ \[2={{e}^{\lambda \,{{T}_{1/2}}}}\] By taking loge both the side \[{{\log }_{e}}2=\lambda {{T}_{1/2}}\] Þ \[\lambda {{T}_{1/2}}=0.693\]
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