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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2018

PhysicsEasysingle choice

If decay constant of a radioactive sample is 0.05 per year, then find the time (in year) for which sample will decay by $75%$ .

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Answer:

Solution:

Here, $λ = 0.05$ per year $N = N_{0} - \frac{3 N _{0}}{4} = N_{0} /4, t = ? lo g_{e} \frac{N}{N _{0}} = λ t t = \frac{lo g _{e} \frac{N _{0}}{N}}{λ} = \frac{lo g _{e} 4}{0.05} = 27.72 year \approx 28 year$

Stream:AIIMSSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2018

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