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For a radioactive material, half-life is...

For a radioactive material, half-life is `10` minutes. If initially there are `600` number of nuclei, the time taken (in minutes) for the disintegration of `450` nuclei is.

A

`30`

B

`15`

C

`10`

D

`20`

Text Solution

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The correct Answer is:
B

`N=600-450=150` nuclei
As `(N)/(N_(0))=(1/2)^(n)=150/(600)=(1/2)^(n) implies n=2`
i.e., two half lives
`i=nT_(1//2)=2xx10=20 mi n`
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