Question

half life period of two elements are 40 min and 20 min respectively,then after 80 min ratio of the remaining nuclei will be(Initially both have equal active nuclei)

Answer 1

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The half life of the first element is 40 min. So the number of half lives occuring in 80 min will be 2.
The half life of the second element is 20 min. So the number of half lives occuring in 80 min will be 4.
Whenever a half life occurs, half the nuclei in the sample decay.
So in the sample of the first element, the number of nuclei will be 1/2² = 1/4 of the initial one.
Also, it will be 1/2⁴ = 1/16 of the initial one.
Their ratio will be 1/4:1/16 = 4:1.

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