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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsRadioactivityEasy2 minPYQ_2020

PhysicsEasysingle choice

The age of the wood if only $\frac{1}{16}$ part of the original $C^{14}$ is present in its piece is ( $T_{1 / 2}$ of $C^{14}$ is $5580$ years)

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Answer:

Solution:

Fraction of atoms left after $n$ half-lives, $\frac{N}{N_{0}} = {(\frac{1}{2})}^{n}$

$\frac{1}{16} = \frac{1}{2^{4}}$

$\Rightarrow n = 4$

$∴$ age $= 4 \times 5580$ years

$= 22320$ years

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Radioactivity

⏱ 2mℹ️ Source: PYQ_2020

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