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Question
The radioactivity of a sample is R1 at a time T1 and R2 at a time T2. If the half-life of the specimen is T, the number of atoms that have disintegrated in the time (T1 - T2) is proportional to ______.
Options
(R1T1 - R2T2)
(R1 - R2)
(R1 - R2)/T
(R1 - R2) T
MCQ
Fill in the Blanks
Solution
The radioactivity of a sample is R1 at a time T1 and R2 at a time T2. If the half-life of the specimen is T, the number of atoms that have disintegrated in the time (T1 - T2) is proportional to (R1 - R2) T.
Explanation:
Radioactivity at T1, R1 = λN1
Radioactivity at T2, R2 = λN2
∴ Number of atoms decayed in time
(T1 - T2) = (N1 - N2)
= `("R"_1-"R"_2)/lambda=(("R"_1-"R"_2)"T")/0.693` ∝ (R1 - R2) T
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Radioactive Decays
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