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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2020

PhysicsEasysingle choice

Half-lives of two radioactive elements $A$ and $B$ are $20 minutes$ and $40 minutes$ , respectively. Initially, the samples have an equal number of nuclei. After $80 minutes$ , the ratio of decayed numbers of $A$ and $B$ nuclei will be:

Options:

Answer:

Solution:

$t = 80 m i n = 4 T_{A} = 2 T_{B}$

no. of nuclei of A decayed $= N_{0} - \frac{N_{0}}{2^{4}} = \frac{15 N_{0}}{16}$

no. of nuclei of B decayed $= N_{0} - \frac{N_{0}}{2^{2}} = \frac{3 N_{0}}{4}$

required ratio $= \frac{5}{4}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2020

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