The decay constant for A----->B is λ The decay constant for B----->C is 2λ At t= 0 A is N0 At t= 0 B is 0 At t= 0 C is 0 At t= t A is N1 At t= t B is N2 At t= t C is N3 The ratio of N1 to N2 when N2 is maximum ,is A) at no time this is possible B) 2 C) 1/2 D) (Ln 2)/2 Please give detailed solution.

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The decay constant for A----->B is λ

The decay constant for B----->C is 2λ

At t= 0 A is N_{0 At t= 0 B is 0 At t= 0 C is 0}

At t= t A is N₁ At t= t B is N₂ At t= t C is N₃

The ratio of N_{1 to}N_{2 when}N_{2 is maximum ,is}

A) at no time this is possible

B) 2

C) 1/2

D) (Ln 2)/2

Please give detailed solution.

Ankit Sharma , 13 Years ago

Grade 12th Pass

1 Answers

Arun Kumar

$\frac{\mathrm{d} A}{\mathrm{d} t}=-\lambda A \, \,for\, eq \,1 \\\frac{\mathrm{d} B}{\mathrm{d} t}=-2\lambda B\, \,for\, eq \,2 \\=>\frac{\mathrm{d} B}{\mathrm{d} t}_{total}=\lambda A-2\lambda B=0 \\=>A=2B$

so it its possible when quantity of A is double the quantity of B

Arun Kumar

IIT Delhi

Askiitians Faculty

Last Activity: 11 Years ago

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Modern Physics> Radioactive Decay...

Ankit Sharma , 13 Years ago

Arun Kumar

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