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Question

Physics Question on Half life

The half-life of tritium is 12.5 years. What mass of tritium of initial mass 64 mg will remain undecayed after 50 years ?

A

32 mg

B

8 mg

C

16 mg

D

4 mg

Answer

4 mg

Explanation

Solution

m=m02nm =\frac{ m _{0}}{2^{ n }} t=nTt = nT 50=n×1.2550= n \times 1.25 n=4 \Rightarrow n =4 m=m024\therefore m =\frac{ m _{0}}{2^{4}} =6416=\frac{64}{16} =4mg=4 \, mg