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Grade 12Modern Physics

A disintegrates into C by emitting 2 alpha and 3 beta particles, B converts into C by emitting 1 alpha and 5 beta particles.At t=0, A has 4N nuclei and B has N nuclei and their half lives are 1 and 2 minutes respectively,the time at which the rate of disintegration is equal.(at t=0,no. of nuclei of C=0).

The answer is 6,how.

Kopur Girish

15 Years agoGrade 12

1 Answer

mounika gajawada

15 Years ago

disintegration constants of

λ_A=ln2/1 and λ_B=ln2/2

as rates are equal; λ_AN_A=λB^NB

4N(e^-{ln2/1}*t)*(ln2/1)=N(e^-{ln2/2}*t)*(ln2/2)

→ 8(2^-t)=(2^-t/2)

→t=6

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