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Q.

The half-life of a radioactive sample is T. If the activities of the sample at time t1 and t2 ( t1 < t2) are R1 and R2 respectively, then the number of atoms disintegrated in time t2 - t1 is proportional to

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a

R1−R2T

b

R1+R2T

c

R1R2R1+R2T

d

R1+R2T

answer is A.

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Detailed Solution

Activity R=λN so that R1=λN1and⁡R2=λN2R1−R2=λN1−N2=0.6931TN1−N2N1−N2=R−R2T0.6931N1−N2∝R1−R2T; ∴t2−t1αR1−R2T
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