Physics Atomic and Nuclear Physics JEE (Main) / AIEEE Problems (Previous Years - nuclear) MCQ (Single Correct)

Half-lives of two radioactive elements A and B are 20 minutes and 40 minutes, respectively, Initially, the samples have equal number of nuclei. After 80 minutes, the ratio of decayed numbers of A and B nuclei will be :

A
4 : 1
B
1 : 4
C
5 : 4
D
1 : 16

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The correct answer is:
C

Given, half-lives of half-lives of 8 . Let the initial number of nuclei in each sample be N .

For radioactive element ,

Number of A nuclides decayed

For radioactive element B,

⇒ Number of nuclides decayed

Ratio of decayed numbers of and I nuclei will be

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