A radioactive nucleus \(\mathrm{n}_2\) has 3 times the decay constant as compared to the decay constant of another radio…

A radioactive nucleus \(\mathrm{n}_2\) has 3 times the decay constant as compared to the decay constant of another radioactive nucleus \(n_1\). If initial number of both nuclei are the same, what is the ratio of number of nuclei of \(n_2\) to the number of nuclei of \(n_1\), after one half-life of \(n_1\) ?

[JEE Main 2025, 23 Jan (Shift 1)]