The radioactivity of a sample is {\I}_1 at a time t_1 and {\I}_2 at a time t_2. If the half life of the sample is \tau_{1 \/ 2}, then the number of nuclei that have disintegrated in the time t_2-t_1 is proportional to

Correct Answer is : (I1−I2)τ1∕2

{ {\I}_1- {\I}_2}/{\tau_{1 \/ 2}}

( {\I}_1- {\I}_2) \tau_{1 \/ 2}

GUJCET 2011 Physics Solved Paper

Question : 32 of 40

Marks: +1, -0

The radioactivity of a sample is I1 at a time t1 and I2 at a time t2. If the half life of the sample is τ1∕2, then the number of nuclei that have disintegrated in the time t2−t1 is proportional to

I1t2−I2t1
I1−I2
‌
I1−I2
τ1∕2
(I1−I2)τ1∕2

Validate

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