JEE Main 2025 Physics question

PhysicsNucleiJEE Main 2025

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

Answer: (1)

Solution

where (half-life of ), giving .

Question ID VK-001923