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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2020

PhysicsEasysingle choice

$8 g$ of ${Cu}^{66}$ undergoes radioactive decay and after $15$ minutes only $1 g$ remains. The half-life, in minutes, is then

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Answer:

Solution:

Given,

$m_{0} = 8 g$

$m = 1 g$

Time of decay $= 15$ $\min$

$\ln \frac{M}{M_{0}} = -λ t$

$\Rightarrow \ln (\frac{1}{8}) = -λ (15)$

$∴ λ = \frac{\ln (8)}{15}$

So, $T_{1 / 2} = \frac{l n 2}{λ}$

$= \frac{15 \ln (2)}{\ln (8)}$

$= 5$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2020

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