For a radioactive material, half-life is 10 minutes. If initially there are 600 number of nuclei, then the time taken (in minutes) for the disintegration of 450 nuclei is
A
30
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B
20
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C
15
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D
10
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Solution
The correct option is B 20 Half life =10min=ln2λ
Nuclei disintegrated = 450
Nuclei left = 600 - 450 =150 N=Noe−λt 150=600e−ln210t ∴t = 20 minutes