Question:
Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is
Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is
Updated On: Jun 14, 2022
- $\frac{1}{4}$
- $\frac{3}{4}$
- $\frac{1}{2}$
- 1
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The Correct Option is B
Solution and Explanation
After two half lives $\frac{1}{4}$ th fraction of nuclei will remain undecayed. Or, $\frac{3}{4}$ th fraction will decay. Hence, the probability that a nucleus decays in two half lives is $\frac{3}{4}$
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Concepts Used:
Decay Rate
The disintegration of unstable heavy atomic nuclei into lighter, more stable, atomic nuclei, accompanied in the process by the emission of ionizing radiation (alpha particles, beta particles or gamma rays). This is a random process at the atomic level but, given a large number of similar atoms, the decay rate on average is predictable, and is usually measured by the half-life of the substance.
The equation for finding out the decay rate is given below:
