A) \[\frac{{{T}_{B}}}{{{T}_{A}}}\]
B) \[\frac{{{T}_{A}}}{{{T}_{B}}}\]
C) \[\frac{{{T}_{A}}+{{T}_{B}}}{{{T}_{A}}}\]
D) \[\frac{{{T}_{A}}-{{T}_{B}}}{{{T}_{A}}}\]
Correct Answer: A
Solution :
Half-life of a radioactive element \[T=\frac{0.693}{\lambda }\] Or \[T\propto \frac{1}{\lambda }\] \[\therefore \] \[\frac{{{\lambda }_{A}}}{{{\lambda }_{B}}}=\frac{{{T}_{B}}}{{{T}_{A}}}\]
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