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PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2020

PhysicsEasysingle choice

A radioactive element has a rate of disintegration 10,000 disintegrations per minute at a particular instant. After four minutes it becomes 2500 disintegrations per minute. The decay constant per minute is

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Answer:

Solution:

$\frac{N}{N_{0}} = e^{- λ t}$

$∴ \frac{2500}{10000} = e^{- λ \times 4}$

$∴ \frac{1}{4} = e^{- 4 λ}$

$∴ e^{4 λ} = 4$

$∴ 4 λ = \log_{e} 4$

$∴ 4 λ = \log_{e} 2^{2}$

$∴ 4 λ = 2 \log_{e} 2^{}$

$∴ λ = \frac{2}{4} \log_{e} 2$

$∴ λ = 0.5 \log_{e} 2^{}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2020

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