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Sub-Atomic Particles

Radioactive e...

Question

Radioactive equilibrium has been reached in uranium mineral containing one atom of Ra to 28 atoms of uranium. $t_{1 / 2}$ for Ra is 1620 years. $t_{1 / 2}$ for uranium is :

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Solution

$\frac{N_{R a}}{N_{U}} = \frac{t_{1 / 2, R a}}{t_{1 / 2, U}}$
Substitute values in the above expression.
$\frac{1}{28} = \frac{1620}{t_{1 / 2, U}}$

$t_{1 / 2, U} = 1620 \times 28 = 45360 y e a r s$
Hence, the half life period of uranium is 45360 years.

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