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PhysicsMediumMCQ2022 · 26 Jun Shift 2

Q18.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 halflife of the nucleus will be (1) 3. 75 hours (2) 0. 56 hours (3) 0. 26 hours (4) 1. 80 hours

What This Question Tests

This question involves calculating the effective half-life of a radioactive nucleus that decays via two independent processes with different half-lives.

Concepts Tested

Radioactive decayHalf-lifeDecay constantEffective half-life

Formulas Used

λ = ln(2)/T_½

λ_eff = λ₁ + λ₂

T_½_eff = ln(2)/λ_eff

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