A) 10 h
B) 20 h
C) 30 h
D) 40 h
Correct Answer: C
Solution :
\[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\] \[{{N}_{0}}=1\,g\] \[N=1-0.875=0.125\,g\] \[\frac{0.125}{1}={{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{125}{1000}={{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{1}{8}={{\left( \frac{1}{2} \right)}^{n}}\] \[{{\left( \frac{1}{2} \right)}^{3}}={{\left( \frac{1}{2} \right)}^{n}}\] \[n=3\] \[\therefore \] Total time \[(T)=n\,\times \,{{t}_{1/2}}\] \[=3\times 10\] \[=30\,h\]
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