Question:
The decay constant of radium is $ 4.28 \times 10^{-4} $ per yr .Its half-life is approximately
The decay constant of radium is $ 4.28 \times 10^{-4} $ per yr .Its half-life is approximately
Updated On: Jul 7, 2022
- 1250 yr
- 1620 yr
- 200 yr
- 60 yr
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The Correct Option is B
Solution and Explanation
Half-life $ T_{1/2} = \frac{0.693}{\lambda} $
$ = \frac{0.693}{4.28 \times 10^{-4} } \approx 1620 yr $
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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:
