Answer:
Here\[R={{R}_{0}}/16\] But \[R={{R}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[\therefore \] \[\frac{{{R}_{0}}}{32}={{R}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] or \[{{\left( \frac{1}{2} \right)}^{5}}={{\left( \frac{1}{2} \right)}^{n}}\] or \[n=5\] Half-life period \[\text{=}\frac{\text{Time of distegration}}{\text{No}\text{.of half-lives}}\text{=}\frac{\text{25}}{\text{5}}\text{= }\mathbf{5days}\]
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