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  4. Half-life period of a substance is 1600 min. How much fraction of the substance will remain after 6400mm?

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Q. Half-life period of a substance is 1600 min. How much fraction of the substance will remain after 6400mm?

Rajasthan PETRajasthan PET 2012

Solution:

Given, half-life period = 1600 min
Total time = 6400 min
Number of life $ (n)=\frac{Total\text{ }time}{Half-life\text{ }period} $
$ =\frac{6400}{1600}=4 $
Amount left $ =\frac{1}{{{2}^{n}}}=\frac{1}{{{2}^{4}}}=\frac{1}{16} $