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Q.

The activity of freshly prepared radioactive sample is  1010 disintegrations per sec whose mean life is 109s  . The mass of the atom of this radio isotope is10−25kg.  The mass (in mg) of the radioactive sample is _______

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answer is 1.

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Detailed Solution

|dNdt|=λN         (λ=1Τmean

1010=Nϒ         ⇒1010×ϒ=NN=1010×109=1019

No of atoms in sample
Mass of the sample = N x mass of the atom
=1019×10−25 kg

=10−6 kg  =1mg

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