JEE Main20211 Sep 2021Evening ShiftPhysicsNuclear PhysicsActual
The half life period of a radioactive element x is same as the mean life time of another radioactive element y . Initially they have the same number of atoms. Then:
Options
- Ax and y decay at the same rate always.
- Bx -will decay faster than y .
- Cy -will decay faster than x .
- Dx and y have same decay rate initially and later on different decay rate.
Correct answer
C. y -will decay faster than x .
Step-by-step solution
The formula of half-life in terms of the decay constant, t 1 2 = 0 . 693 λ x = 1 λ y ⇒ λ x = 0 . 693 λ y ⇒   λ x < λ y