The radioactive isotope tritum (`""_(3)^(1)H)` has a half life 0f 12.3 years. IF the initial amount of tritium is 32 mg, how many milligrams of it would remain after 49. 2 years ?

Options

A. 2 mg
B. 4 mg
C. 8 mg
D. 1 mg

Answer

A

Explanation

Given : `t_(1//2) = 12.3` years, Initial amount `(N_(0)) = 32` mg, Total time = 49.2 years.
Numberof half life (n) ` = (T)/(t_(1//2)) = (49.2)/(12.3) = 4, " "N_(0) ((1)/(2))^(n) = 32 ((1)/(2))^(4) = 2` mg