Answer:
λ = 0.03 s⁻¹
Explanation:
The formula for decay constant can be used as follows:
[tex]N = N_oe^{-\lambda t}\\\\\frac{N}{N_o} = e^{-\lambda t}[/tex]
where,
[tex]\frac{N}{N_o}[/tex] = ratio of remaining nuclei to the initial value of nuclei = [tex]\frac{1}{6}[/tex] = 0.167
t = time = 60 s
λ = decay constant = ?
Therefore,
[tex]0.167 = e^{-\lambda(60\ s)}\\\\-\lambda (60\ s) = ln(0.167)\\\\\lambda = \frac{-1.7917}{- 60\ s}[/tex]
λ = 0.03 s⁻¹
