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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)
    1 : 16
  • b)
    4 : 1
  • c)
    1 : 4
  • d)
    5 : 4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Half-lives of two radioactive elements A and B are 20 minutes and 40 m...
80 minutes = 4 half-lives of A = 2 half-lives of B
Let the initial number of nuclei in each sample be N
NA after 80 minutes = N/2⇒ Number of A nuclides decayed = 15/16N
NB after 80 minutes = N/2⇒ Number of B nuclides decayed = 3/4N
Required ratio = 
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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)1 : 16b)4 : 1c)1 : 4d)5 : 4Correct answer is option 'D'. Can you explain this answer?
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