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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

10

C

20

D

15

Text Solution

Verified by Experts

The correct Answer is:
C
Number of nuclei remaining =600-450=150
`(N)/(N_(0))=((1)/(2))^(n)`
`(150)/(600)=((1)/(2))^((t)/(t_(1//2)))`
`((1)/(2))^(2)=((1)/(2))^((t)/(t_(1//2)))`
`t=2t_(1//2)=2xx10`
`=20` minutes
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