A) 20 min
B) 40 min
C) 50 min
D) 10 min
Correct Answer: A
Solution :
The relation between decay constant \[(\lambda )\] and half-life (T) is \[{{E}_{a}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{2p}{{{r}^{3}}}N/C\]Time of decay \[{{E}_{q}}=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{P}{{{r}^{3}}}N/C\] Time of decay for 33% disintegration is \[\frac{{{E}_{a}}}{{{E}_{q}}}=\frac{2}{1}\] Time of decay for 67% disintegration is JJ \[\Rightarrow \] Hence, difference of time is \[{{E}_{a}}=2{{E}_{q}}\]
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