A) \[\frac{1}{16}\]
B) \[\frac{1}{4}\]
C) \[\frac{1}{8}\]
D) \[\frac{1}{2}\]
Correct Answer: A
Solution :
Given, half-life period = 1600 min Time = 6400 min Number of life \[(n)=\frac{time}{half-life\,period}\] \[=\frac{6400}{1600}=4\] Amount left \[=\frac{1}{{{2}^{4}}}=\frac{1}{16}\] Alternate method Initial amount Half-life period Amount left 1 1600mm 1/2 1/2 1600mm 1/4 1/4 1600mm 1/8 1/8 1600 min 1/16 6400
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