Physics

Nuclei

Half life of radioactive material

A sample has two isotopes { }^{150} A and { }^{x x} B having m

Question

Medium

Solving time: 3 mins

A sample has two isotopes $^{150} A$ and $^{xx} B$ having masses $50 g$ and $30 g$ respectively. $A$ is radioactive and $B$ is stable. A decays to $A^{'}$ by emitting $α$ particles. The half life of $A$ is $2 hrs$ . Find the mass of the sample after 4 hour :

Name: Video answer for A sample has two isotopes 150A and xxB having masses 50 g and 30 g respectively. A is radioactive and B is stable. A decays to A′ by emitting α particles. The half life of A is 2hrs. Find the mass of the sample after 4 hour :
Uploaded: 2022-07-05T03:40:44.000Z
Duration: 6 min
Description: A sample has two isotopes 150A and xxB having masses 50 g and 30 g respectively. A is radioactive and B is stable. A decays to A′ by emitting α particles. The half life of A is 2hrs. Find the mass of the sample after 4 hour :

43 gm

58 gm

61 gm

79 gm

Views: 5,846 students

Updated on: Jul 5, 2022

Book:

Physics Galaxy Optics and Modern Physics Vol 4 (Ashish Arora)

Text solutionVerified

After 4 hours the sample will contain 30 gm of isotope

B

and

12.5 gm

of isotope

A

.
Mass of isotope

A

decayed to

A^{'}

37.5 gm

which will have a mass after four hours

m^{'} = 37.5 \times \frac{146}{150} = 36.5 gm

Total mass

= 30 + 12.5 + 36.5 = 79 gm

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Scarlett Discussed

A sample has two isotopes

^{150} A

and

^{xx} B

having masses

50 g

and

30 g

respectively.

A

is radioactive and

B

is stable. A decays to

A^{'}

by emitting

α

particles. The half life of

A

2 hrs

. Find the mass of the sample after 4 hour :

10 mins ago

Discuss this question LIVE

10 mins ago

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Question Text	A sample has two isotopes $^{150} A$ and $^{xx} B$ having masses $50 g$ and $30 g$ respectively. $A$ is radioactive and $B$ is stable. A decays to $A^{'}$ by emitting $α$ particles. The half life of $A$ is $2 hrs$ . Find the mass of the sample after 4 hour :
Updated On	Jul 5, 2022
Topic	Nuclei
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	239
Avg. Video Duration	6 min

A sample has two isotopes $^{150} A$ and $^{xx} B$ having masses $50 g$ and $30 g$ respectively. $A$ is radioactive and $B$ is stable. A decays to $A^{'}$ by emitting $α$ particles. The half life of $A$ is $2 hrs$ . Find the mass of the sample after 4 hour :

Text solutionVerified

Video solutions (1)

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A sample has two isotopes 150A and xxB having masses 50 g and 30 g respectively. A is radioactive and B is stable. A decays to A′ by emitting α particles. The half life of A is 2hrs. Find the mass of the sample after 4 hour :

Text solutionVerified

Video solutions (1)

Practice questions from Physics Galaxy Optics and Modern Physics Vol 4 (Ashish Arora)

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A sample has two isotopes $^{150} A$ and $^{xx} B$ having masses $50 g$ and $30 g$ respectively. $A$ is radioactive and $B$ is stable. A decays to $A^{'}$ by emitting $α$ particles. The half life of $A$ is $2 hrs$ . Find the mass of the sample after 4 hour :