Q.

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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a

R1 T1-R2 T2

b

R1-R2

c

R1-R2/T

d

R1-R2×T

answer is D.

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Detailed Solution

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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