Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
•• (a) Treating the nucleus as a uniform sphere of radius (1.07 fm)A1/3, calculate the density (in kg/m3) of the 56Fe nucleus and compare it to that of solid iron (7800 kg/m3). (b) Calculate the electric charge density of this nucleus (Z = 26) in coulombs/m3. Compare this charge density to that which can be uniformly distributed in an insulating sphere of 1 m radius in air without sparking. The maximum possible electric field strength at the surface of the sphere without sparking is about 3 × 106 V/m.
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