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The half - life of ^(215) At is 100 mu ,...

The half - life of `^(215) At` is `100 mu , s.`The time taken for the radioactivity of a sample of `^(215) At` to decay to `1//16^(th)` of its initially value is

A

`400 mu s`

B

`6.3 mus`

C

`40 mus`

D

`300 mus`

Text Solution

Verified by Experts

The correct Answer is:
A
`N/N_(0)=(1/2)^(n)`
`(1/16)=(1/2)^(n)`
`(1/2)^(4)=(1/2)^(n)`
`:. n=4`
`t/T=4`
`:. t=4 T`
`=4 xx100`
`=400 mu s`
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