A radioactive nucleus n₂ has 3 times the decay constant as compared to the decay constant of another radioactive nucleus n₁. If initial number of both nuclei are the same, what is the ratio of number of nuclei of n₂ to the number of nuclei of n₁, after one half-life of n₁?

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(4) 1/4. After t=T₁: N₁=(N₀)/2. n₂ has a half-life (T₁)/3, so it has gone through 3 half-lives: N₂=(N₀)/8. (N₂)/(N₁)=1/4

A radioactive nucleus n₂ has 3 times the decay constant as compared to the decay constant of another radioactive nucleus n₁. If initial number of both nuclei are the same, what is the ratio of number of nuclei of n₂ to the number of nuclei of n₁, after one half-life of n₁?

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