Nuclei A and B convert into a stable nucleus C. Nucleus A is converted into C by emitting 2α-particles and 3β- particles. Nucleus B is converted into C by emitting one α-particle and 5β-particles. At time t=0, nuclei of A and 4N0 and nuclei of B are N0. Initially, number of nuclei of C are zoer. Half-life of A (into conversion of C) is 1min and that of B is 2min. Find the time (in minutes) at which rate of disintegration of A and B are equal.
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Updated on : 2022-09-05
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Correct option is A)
We have to find the time at which λANuA=λBNuB (TAln2)(4N0e−λAt)=(TBln2)(N0e−λBt) ⇒e(λA−λB)t=8