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In a radioactive material the activity at time t_1 is R_1 and at a later time t_2, it is R_2. If the decay constant of the material is λ, then:

NEET UG 2006 — Physics Modern Physics

2006mcqmedium

In a radioactive material the activity at time t1t_1t1​ is R1R_1R1​ and at a later time t2t_2t2​, it is R2R_2R2​. If the decay constant of the material is λ\lambdaλ, then:

Official previous-year question

Held on 30 Apr 2006 · Verified 9 Jul 2026.

Options

  1. A

    R1=R2R_1=R_2R1​=R2​

  2. B

    R1=R2e−λ(t1−t2)R_1=R_2 e^{-\lambda\left(t_1-t_2\right)}R1​=R2​e−λ(t1​−t2​)

  3. C

    R1=R2eλ(t1−t2)R_1=R_2 e^{\lambda\left(t_1-t_2\right)}R1​=R2​eλ(t1​−t2​)

  4. D

    R1=R2(t2/t1)\mathrm{R}_1=\mathrm{R}_2\left(\mathrm{t}_2 / \mathrm{t}_1\right)R1​=R2​(t2​/t1​)

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