Q.

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

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a

2.50 gm

b

3.70 gm

c

6.30 gm

d

1.35 gm

answer is D.

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Detailed Solution

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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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