1.

The half life of `Ra` is 1600 years. The fraction of a sample of `Ra` that would remain after 6400 years isA. `(1)/(4)`B. `(1)/(2)`C. `(1)/(8)`D. `(1)/(16)`

Answer» Correct Answer - D
`t_(1//2)=1600 years, T=6400 years`
`:. n=(T)/(t_(1//2))=(6400)/(1600)=4`
`N=((1)/(2))^(n)N_(0)`
`=(N)/(N_(0))=((1)/(2))^(4)=(1)/(16)`


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