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Q.

After a time t has elapsed, 90% of a radioactive sample is undecayed. The percent that will decay in a time 2t is

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a

19 %

b

81 %

c

20 %

d

40 %

answer is A.

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Detailed Solution

0.9 N0 = N0e–λt⇒       λ=1tln109N'=N0e−λ.2t=N09102=81 N0100∴  decayed = 19%.
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After a time t has elapsed, 90% of a radioactive sample is undecayed. The percent that will decay in a time 2t is