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Questions  

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

a
1020kg/m3
b
1017kg/m3
c
1014kg/m3
d
1011kg/m3

detailed solution

Correct option is B

The order of magnitude of mass and volume of uranium nucleus will be m≃A1.67×1027kg  (A is atomic number)V=43πr3≃43π1.25×10−15mA1/33≃8.2×10−45m3AHence,  ρ=mV=A(1.67×10-27kg)(8.2×10-45m3)A≃2.0×1017kg/m3

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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


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