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The half life period of a radioactive element X is same as the

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The half life period of a radioactive element $X$ is same as the mean life time of another radioactive element $Y$ . Initially both them have the same number of atoms. Then

X

and

Y

have the same decay rate initially

X

and

Y

decay at the same rate always

Y

will decay at a faster rate than

X

X

will decay at a faster rate than

Y

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Updated on: May 5, 2023

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The half life period of a radioactive element

X

is same as the mean life time of another radioactive element

Y

. Initially both them have the same number of atoms. Then

9 mins ago

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Text solutionVerified

(T_{1/2})_{x} = (t_{mean})_{y}

\Rightarrow \frac{0.693}{λ _{x}} = \frac{1}{λ _{y}} \Rightarrow λ_{x} = 0.693 λ_{y}

λ_{x} < λ_{y}

Also rate of decay

= λ N

Initially number of atoms

(N)

of both are equal but since

λ_{y} > λ_{x}

,
therefore,

y

will decay at a faster rate than

x

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Question Text	The half life period of a radioactive element $X$ is same as the mean life time of another radioactive element $Y$ . Initially both them have the same number of atoms. Then
Updated On	May 5, 2023
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 3
Upvotes	354
Avg. Video Duration	4 min

The half life period of a radioactive element $X$ is same as the mean life time of another radioactive element $Y$ . Initially both them have the same number of atoms. Then

Text solutionVerified

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The half life period of a radioactive element $X$ is same as the mean life time of another radioactive element $Y$ . Initially both them have the same number of atoms. Then