Wave Optics

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Tritium has a half-life of 12.5 years against β-decay. What fraction of a sample of pure tritium will remain undecayed after 37.5 years?

Solution

Given,
Half life of tritium, T = 12.5 years
t = 37.5 years

Now, using the formula for decay rate,

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

we have, $\frac{N}{N_{0}} = {(\frac{1}{2})}^{\frac{37.5}{12.5}} = {(\frac{1}{2})}^{3} = \frac{1}{8} .$

Thus, one-eighth of the sample will remain undecayed after 13.5 years.

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Wave Optics

Tritium has a half-life of 12.5 years against β-decay. What fraction of a sample of pure tritium will remain undecayed after 37.5 years?

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