1.

The half-life of `^215At` is `100mus`. The time taken for the activity of a sample of `^215At` to decay to `1/16th` of its initial value isA. (a) `400 mus`B. (b) `63mus`C. (c) `40 mus`D. (d) `300 mus`

Answer» Correct Answer - A
`R=R_0(1/2)^n` …(i)
Here, R= activity of radioactive substance after n half-lives `=R_0/16` (given)
Substituting in Eq. (i), we get `n=4`
`:.` `t=(n)t_(1//2)=(4)(100mus)=400mus`


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