A) \[0.922\,{{\min }^{-1}}\]
B) \[0.691\,{{\min }^{-1}}\]
C) \[0.461\,mi{{n}^{-1}}\]
D) \[0.230{{\min }^{-1}}\]
Correct Answer: C
Solution :
Activity, \[A={{A}_{0}}{{e}^{-\lambda t}}\] \[\therefore \] \[975=9750\,{{e}^{-\lambda \times 5}}\] \[\frac{1}{10}={{e}^{-\lambda \times 5}}\] Taking logarithm on both sides, we have \[-{{\log }_{e}}10=-5\lambda \] \[-2.3026=-5\lambda \] \[\lambda =\frac{2.3026}{5}=0.461\,{{\min }^{-1}}\]
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