Practicing Success
If the half-lives of a radioactive element for $α$ and $β$ decay are 4 year and 12 years respectively, then the percentage of the element that remains after 12 year will be - |
6.25 % 5.25% 4.25 % 3.50 % |
6.25 % |
Effective half life of decay is $T = \frac{4\times 12}{4+12} = 3 years$ $ n = \frac{t}{T} = \frac{12}{3} = 4$ $\frac{N}{N_0}=(\frac{1}{2})^{n}=(\frac{1}{2})^4=\frac{1}{16}$ Percentage remains after 12 years is $\frac{100}{16}\%=6.25\%$ |