A) 0.922 \[{{\min }^{-1}}\]
B) 0.691 \[{{\min }^{-1}}\]
C) 0.461 \[{{\min }^{-1}}\]
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 \[-{{\log }_{e}}10=-5\,\lambda \] \[-2.3026=-5\lambda \] \[\lambda =\frac{2.3026}{5}=0.46\,{{\min }^{-1}}\]
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