A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turns disintegrates to some other stable nucleus C. Plot of a graph showing the variation of number of atoms of nucleus B vesus time is:

(Assume that a t = 0, there are no B atoms in the sample)

Option 1 - A

Option 2 - B

Option 3 - C

Option 4 - D

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Answered by

Raj Pandey | Contributor-Level 9

6 months ago

Correct Option - 2

Detailed Solution:

$A \to_{}^{λ_{A}} B \to_{}^{λ_{B}} C$

Amount of B,

$N_{B} = \frac{λ_{A} N_{A_{0}}}{λ_{B} - λ_{A}} [e^{- λ_{A} t} - e^{- λ_{B} t}]$

where K = $\frac{λ_{A}}{λ_{B} - λ_{A}} N_{A_{0}}$

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A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turns disintegrates to some other stable nucleus C. Plot of a graph showing the variation of number of atoms of nucleus B vesus time is: (Assume that a t = 0, there are no B atoms in the sample)

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