1.

A sample of a radioactive element whose half-life is 30s contains a million nuclei at a certain instant of time. How many nuclei will be left after 10 s?

Answer»

`3.33 xx 10^(5)`
`3.78 xx 10^(5)`
`1.11 xx 10^(5)`
`1.26 xx 10^(5)`

SOLUTION :`N/N_(0)=(1/2)^(t//T)=(1//2)^(1//3)`
`=(0.5)^(1//3)=0.7955`
`N=0.7955 xx 10^(6)`
`=7.955 xx 10^(5)`


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