A) 4 days
B) 12 days
C) 18 days
D) 24 days
Correct Answer: C
Solution :
Here: Half life\[{{T}_{1/2}}=\]3.6 days Amount left after time\[t,\] \[N=\frac{1}{32}\times {{N}_{0}}\] Number of half lives in time,\[(n)\]is given by \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\] Or \[\frac{\frac{{{N}_{0}}}{32}}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\] Or \[\frac{1}{32}=\frac{1}{{{2}^{n}}}\] Or \[n=5\]or\[\frac{1}{{{t}_{1/2}}}=5\] Hence, time of deeay \[t=5\times \frac{{{t}_{1}}}{2}=5\times 3.5\approx 18\,days\]
You need to login to perform this action.
You will be redirected in
3 sec
