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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2020

PhysicsEasysingle choice

The radioactive isotope $X$ with a half-life of $10^{9}$ years decays to $Y$ which is stable. A sample of rocks was found to contain both the elements $X$ and $Y$ in the ratio $1 : 7$ . The age of the rocks is

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Answer:

Solution:

$\frac{N}{N_{0}} = \frac{1}{1 + 7} = \frac{1}{8}$

$\frac{N}{N_{0}} = {(\frac{1}{2})}^{n} = \frac{1}{8}$

$∴ n = 3$

$t = nT = 3 \times 10^{9} years$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2020

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