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A sample of radioactive element has a mass of 10gm at an instant t=0. The appropriate mass of this element in the sample after two mean lives is

a
2.50 gm
b
3.70 gm
c
6.30 gm
d
1.35 gm

detailed solution

Correct option is D

Mean life Tm=1λWe know, N=N0e-λt=10 x e-λ2 x 1λ=10e2=10(2.7)2gm2=1.35 gm

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