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The variation of decay rate of two radioactive samples A and B

Physics Exemplar

Class 12

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Samples of two radioactive nuclides

A

and

B

are taken

λ_{A}

and

λ_{B}

are the disintegration constants of

A

and

B

respectively. In which of the following cases, the two samples can simultaneously have the same decay rate at any time?

The variation of decay rate of two radioactive samples

A

and

B

with time is shown in figure.
Which of the following statements are true?

He_{2}^{3}

and

He_{1}^{3}

nuclei have the same mass number. Do they have the same binding energy?

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Question

Easy

Solving time: 2 mins

The variation of decay rate of two radioactive samples $A$ and $B$ with time is shown in figure.
Which of the following statements are true?

Name: Video solution 1: [Solved] The variation of decay rate of two radioactive samples A and B with time is shown in figure.Which of the following statements are true? - Physics Exemplar
Uploaded: 2022-12-04T12:16:37.000Z
Duration: 9 min
Description: Video solution 1: [Solved] The variation of decay rate of two radioactive samples A and B with time is shown in figure.Which of the following statements are true? - Physics Exemplar

SELECT MULTIPLE OPTION

Decay constant of

A

is greater than that of

B

, hence

A

always decays faster than

B

Decay constant of

B

is greater than that of

A

but its decay rate is always smaller than that of

A

Decay constant of

A

is greater than that of

B

but it does not always decay faster than

B

Decay constant of

B

is smaller than that of

A

but still its decay rate becomes equal to that of

A

at a later instant

Views: 5,611 students

Updated on: Dec 4, 2022

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The variation of decay rate of two radioactive samples

A

and

B

with time is shown in figure.
Which of the following statements are true?

13 mins ago

Discuss this question LIVE

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Text solutionVerified

From the given figure, it is clear that slope of curve

A

is So rate of decay is faster for

A

than that of

B

We know that

(\frac{d N}{d t}) \propto, λ

, at any instant of time hence we can say that

λ_{A} > λ_{B}

. At point

P

shown in the diagram the two curve intersect. Hence at point

P

, rate of decay for both

A

and

B

is the same.

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Practice more questions from Physics Exemplar (NCERT Exemplar)

Samples of two radioactive nuclides

A

and

B

are taken

λ_{A}

and

λ_{B}

are the disintegration constants of

A

and

B

respectively. In which of the following cases, the two samples can simultaneously have the same decay rate at any time?

The variation of decay rate of two radioactive samples

A

and

B

with time is shown in figure.
Which of the following statements are true?

He_{2}^{3}

and

He_{1}^{3}

nuclei have the same mass number. Do they have the same binding energy?

View all

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Question Text	The variation of decay rate of two radioactive samples $A$ and $B$ with time is shown in figure. Which of the following statements are true?
Updated On	Dec 4, 2022
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	213
Avg. Video Duration	9 min

The variation of decay rate of two radioactive samples $A$ and $B$ with time is shown in figure.
Which of the following statements are true?

Text solutionVerified

Filo tutor solutions (1)

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The variation of decay rate of two radioactive samples A and B with time is shown in figure.Which of the following statements are true?

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The variation of decay rate of two radioactive samples $A$ and $B$ with time is shown in figure.
Which of the following statements are true?