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Questions  

The radius R of a nucleus of mass number A can be estimated by the formula  R = (1.3 × 1015)A1/3 m. It follows that the mass density of a nucleus is of the order of : Mprot Mneut =1.67×10-27 kg

a
1017kgm−3
b
1010kgm−3
c
103kgm−3
d
1024kgm−3

detailed solution

Correct option is A

density =MPVP=1.67×10-27×A43π1.3×10-153(A)kg/m3=3×1.674π×(1.3)3×1018 kg/m3=30×1.674π(1.3)3×1017 kg/m3∴d=1.81×1017 kg/m3

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Order of magnitude of density of uranium nucleus is (mp=1.67×10-27kg) 


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