Nuclear Physics and RadioactivityHard

Question

The radioactivity sample of a sample is R1 at time T1 and R2 at time 2. the half life of the specimen is than number of atoms that have disingrated in time (T2 - T1) is proportional to

Options

A.(R1T1 - R2T2)
B.(R1 - R2) T
C.(R1 - R2) / T
D.(R1 - R2) (T1 - T2)

Solution

N1 = N0e-λT1; N2 = N0 e-λT2
R1 = λN1 ; R2 = λN2
(N1 - N2) = (N1 - N2) =
T = ; λ
(N1 - N2) =
(N1 - N2) ∝ (R1 - R2)T

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