A) \[\frac{1}{2}\] sec
B) 1 sec
C) \[\frac{3}{8}\] sec
D) \[\frac{3}{4}\]sec
Correct Answer: C
Solution :
If\[\frac{3}{4}\] part decays If means \[\frac{1}{4}\]part remain undecayed Now from the formula \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{1}{4}={{\left( \frac{1}{2} \right)}^{n}}\] \[{{\left( \frac{1}{2} \right)}^{n}}={{\left( \frac{1}{2} \right)}^{n}}\]so, n = 2 \[n\times {{T}_{1/2}}=t\] \[2\times {{T}_{1/2}}=\frac{3}{4}\] Thus \[{{T}_{1/2}}=\frac{3}{8}\sec \]
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