Verified Solution • 2025–26 Session moderate

QAIPMT-2006-Ph-2472: NEET 2006 Physics - Class 12 AIPMT-2006-Ph-2472 Solution: In a radioactive material the activity at time \(t_1\) is…

In a radioactive material the activity at time t1t_1 is R1R_1 and at a later time t2t_2, it is R2R_2. If the decay constant of the material is λ\lambda, then

Multiple Choice Options

  • A R1=R2R_1=R_2
  • B R1=R2e−λ(t1−t2)R_1=R_2e^{-\lambda(t_1-t_2)}
  • C R1=R2eλ(t1−t2)R_1=R_2e^{\lambda(t_1-t_2)}
  • D R1=R2(t2/t1)R_1=R_2(t_2/t_1).

Step-by-Step Verified Solution

R 1 = R 0 e - _ t 1 and R 2 = R 0 e - _ t 2 _ R 1 R 2 = R 0 e _ _ t 1 R 0 e _ _ t 2 = e _ _ ( t 1 _ t 2 ) _ R 1 = R 2 e _ _ (t 1 _ t 2 )

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