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Question: Half life of \(Bi^{210}\) is 5 days. If we start with 50,000 atoms of this isotope, the number of at...

Half life of Bi210Bi^{210} is 5 days. If we start with 50,000 atoms of this isotope, the number of atoms left over after 10 days is.

A

5,000

B

25,000

C

12,500

D

20,000

Answer

12,500

Explanation

Solution

Nt=N0(12)t/T=50000(12)10/5=12500N_{t} = N_{0}\left( \frac{1}{2} \right)^{t/T} = 50000\left( \frac{1}{2} \right)^{10/5} = 12500