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Two radioactive materials {X}_{1} and {X}_{2} have decay const

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Two radioactive materials $X_{1}$ and $X_{2}$ have decay constants $10 λ$ and $λ$ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of $X_{1}$ to that of $X_{2}$ will be $1/ e$ after a time

1/10 λ

1/11 λ

11/10 λ

1/9 λ

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Updated on: Sep 19, 2022

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Henry Discussed

Two radioactive materials

X_{1}

and

X_{2}

have decay constants

10 λ

and

λ

respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of

X_{1}

to that of

X_{2}

will be

1/ e

after a time

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

N_{1} = N_{0} e^{- 10 λ t}

N_{2} = N_{0} e^{- λ t}

\frac{N _{1}}{N _{2}} = e^{- 9 λ t} = e^{- 1}

9 λ t = 1 \Rightarrow t = \frac{1}{9 λ}

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Question Text	Two radioactive materials $X_{1}$ and $X_{2}$ have decay constants $10 λ$ and $λ$ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of $X_{1}$ to that of $X_{2}$ will be $1/ e$ after a time
Updated On	Sep 19, 2022
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 5
Upvotes	593
Avg. Video Duration	5 min

Two radioactive materials $X_{1}$ and $X_{2}$ have decay constants $10 λ$ and $λ$ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of $X_{1}$ to that of $X_{2}$ will be $1/ e$ after a time

Text solutionVerified

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Two radioactive materials X1​ and X2​ have decay constants 10λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1​ to that of X2​ will be 1/e after a time

Text solutionVerified

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Two radioactive materials $X_{1}$ and $X_{2}$ have decay constants $10 λ$ and $λ$ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of $X_{1}$ to that of $X_{2}$ will be $1/ e$ after a time