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The half-lives of a radioactive sample are 30 years and 60 yea

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Medium

Solving time: 3 mins

The half-lives of a radioactive sample are 30 years and 60 years for two decay processes. If the sample decays by both the processes simultaneously. The time after which, only one-fourth of the sample will remain is

10 years

20 years

40 years

60 years

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Optics And Modern Physics (DC Pandey)

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The half-lives of a radioactive sample are 30 years and 60 years for two decay processes. If the sample decays by both the processes simultaneously. The time after which, only one-fourth of the sample will remain is

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Text solutionVerified

λ = λ_{1} + λ_{2}

∴ \frac{l n 2}{T} = \frac{l n 2}{T _{1}} + \frac{l n 2}{T _{1}} (T = Half-life)

or T = \frac{T _{1} T _{2}}{T _{1} + T _{2}} = 20 y

\frac{1}{4}

th sample remains after 2 half-lives or

40 y

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Question Text	The half-lives of a radioactive sample are 30 years and 60 years for two decay processes. If the sample decays by both the processes simultaneously. The time after which, only one-fourth of the sample will remain is
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	108

The half-lives of a radioactive sample are 30 years and 60 years for two decay processes. If the sample decays by both the processes simultaneously. The time after which, only one-fourth of the sample will remain is

Text solutionVerified

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