Find the density of a hydrogen nucleus in grams per cubic centimeters,
given that the diameter of this nucleus is 1.0*10 pm and the mass is 1.67
* 10-24g. (Hint Volume of a sphere of radius r is far.)
Diameter=10pm=1×10−11M=1×10−9cmDiameter = 10 pm = 1× 10^{-11}M = 1×10^{-9}cmDiameter=10pm=1×10−11M=1×10−9cm
Mass=1.67×10−24gMass= 1.67×10^{-24}gMass=1.67×10−24g
V=43×3.14×[12×(1×10−9)]3=4.2×10−8cm3V= \frac{4}{3}× 3.14 × [\frac{1}{2}×(1×10^{-9})]^3 = 4.2×10^{-8}cm3V=34×3.14×[21×(1×10−9)]3=4.2×10−8cm3
D=1.67×10−244.2×10−8=4.04×10−17g/cm³D= \frac{1.67×10^{-24}}{4.2×10^{-8}} = 4.04× 10^{-17}g/cm³D=4.2×10−81.67×10−24=4.04×10−17g/cm³
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