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PhysicsModern PhysicsRadioactivityMedium2 minQB

PhysicsMediumsingle choice

In a sample of radioactive material, what percentage of the initial number of active nuclei will decay during one mean life ?

Answer:

Solution:

After one mean life $τ$ :

$N = N_{0} e^{- t / τ} = N_{0} e^{- 1}$

$\frac{N}{N _{0}} = \frac{1}{e} \approx 0.37$

So the fraction decayed is

$1 - \frac{1}{e} = 0.632 \approx 63%$

Hence option (C).

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: QB

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