Question:

The half-life of tritium is 12.5 years. What mass of tritium of initial mass 64 mg will remain undecayed after 50 years ?

Updated On: Jan 22, 2025
  • 32 mg
  • 8 mg
  • 16 mg
  • 4 mg
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The Correct Option is D

Solution and Explanation

$m =\frac{ m _{0}}{2^{ n }}$ $t = nT$ $50= n \times 1.25$ $ \Rightarrow n =4$ $\therefore m =\frac{ m _{0}}{2^{4}}$ $=\frac{64}{16}$ $=4 \, mg$
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Concepts Used:

Half-life

The amount of time taken for half of a particular sample to react is known as Half-life.

Half-Life Formula:

We can describe exponential decay by any of the three formulas