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The radioactivity of a sample is $R_{1}$ at a time $T_{1}$ and $R_{2}$ at a time $T_{2}$ . If the half life of the specimen is T, the number of atoms that have disintegrated in the time $(T_{2} - T_{1})$ is proportional to

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R1 T1-R2 T2

R1-R2

R1-R2/T

R1-R2×T

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detailed solution

Correct option is D

λ=0.693t1/2 and R=λNt Radioactivity at T1 is R1=λN1 , Radioactivity at T2 is R2=λN2 Number of atoms decayed in time T1-T2=N1-N2 = R1-R2λ=R1-R2T0.693 ∝ R1-R2T

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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 (T2-T1) is proportional to

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Ready to Test Your Skills?

free study material

The radioactivity of a sample is $R_{1}$ at a time $T_{1}$ and $R_{2}$ at a time $T_{2}$ . If the half life of the specimen is T, the number of atoms that have disintegrated in the time $(T_{2} - T_{1})$ is proportional to