Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as: (where $\lambda$ is the decay constant)\\
(1) $\frac{1}{2}\frac{\ln 2}{\lambda}$\\
(2) $\frac{\ln 2}{\lambda}$\\
(3) $\frac{2\ln 2}{\lambda}$\\
(4) $\frac{\ln\frac{3}{2}}{\lambda}$