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two samples of radioactive substance have the same quantity, 1/16th portion of A and 1/256th portion of B remain undecayed after 8 hours, the ratio of half life periods of A and B is

two samples of radioactive substance have the same quantity, 1/16th portion of A and 1/256th portion of B remain undecayed after 8 hours, the ratio of half life periods of A and B is

Grade:11

1 Answers

Kapil Khare
80 Points
5 years ago
Let a and b be half life period of substance A and B.
1/16th means A has completed 4 half life period
\implies      4a = 8hours
\implies     Half life period of A = a = 2 hours
 
1/256th means B has completed 8 half life period
\implies     8b = 8hours
\implies     Half life period of B = b = 1 hour

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