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PhysicsModern PhysicsRadioactivityMedium2 minQB

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The activity of a radioactive sample reduces to 3% of its initial value in about 2.5 hours. The half life of the sample in minutes is approximately

Answer:

Solution:

$0.03 = e^{- λ (2.5 h)} \Rightarrow λ = \frac{ln ( 1/0.03 )}{2.5} \approx 1.40 h^{- 1}$

$T_{1/2} = \frac{ln 2}{λ} \approx 0.49 h \approx 30 minutes$

Hence option (C).

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: QB

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