The half life of a radioactive nucleus is 50 days. The time interval ( t 2 − t 1 ) between the time t 2 when 3 2 of it has decayed and the time t 1 when 3 1 of it had decayed isNEET 2012 (Mains)

Active fraction at instant t 2 , 2 t 2 / T 1/2 1 = 3 1 Active fraction at instant t 1 , 2 t 1 / T 1/2 1 2 t 1 / T 1/2 2 t 2 / T 1/2 t 2 − t 1 = T 1/2 = 3 2 = 2 = 50 days

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PhysicsModern PhysicsRadioactivityHard2 minPYQ_2012

PhysicsHardsingle choice

The half life of a radioactive nucleus is 50 days. The time interval $(t_{2} - t_{1})$ between the time $t_{2}$ when $\frac{2}{3}$ of it has decayed and the time $t_{1}$ when $\frac{1}{3}$ of it had decayed isNEET 2012 (Mains)

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Active fraction at instant $t_{2}$ , $\frac{1}{2 ^{t_{2} / T_{1/2}}} = \frac{1}{3}$ Active fraction at instant $t_{1}$ , $\frac{1}{2 ^{t_{1} / T_{1/2}}} \frac{2 ^{t_{2} / T_{1/2}}}{2 ^{t_{1} / T_{1/2}}} t_{2} - t_{1} = T_{1/2} = \frac{2}{3} = 2 = 50 days$

Stream:NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2012

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