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← JEE Main 2022 · 26 Jun · Shift 2
PhysicsSingle correct+4 / -1Question 48 of 90

JEE Main 2022 · 26 Jun · Shift 2, Physics question 48

A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is 4.5 hours for the second process. The effective half-life of the nucleus will be :

Choose one option
Answer and worked solution

Official answer: D

Parallel decay. 1T=13+14.5=59\dfrac1T=\dfrac13+\dfrac1{4.5}=\dfrac59, so T=1.8T=1.8 h.

(D)