Question

Consider a 3919K nucleus to be a sphere with the nineteen protons uniformly distributed throughout.

(a) Determine the radius of this sphere (in m). m

(b) If the energy needed to assemble a uniformly charged sphere of charge Q and radius R from separate charges is U = 3keQ2 5R , determine the energy (in MeV) needed to assemble a uniformly charged sphere consisting of nineteen protons and with the radius determined in part (a). MeV

(c) Determine the binding energy (in MeV) for the nucleus 3919K. (Let the mass of a proton be 1.0078 u, the mass of a neutron be 1.0087 u, and the mass of 3919K be 38.9637 u.) MeV

Answer 1

Answer : -- Given :

and

(a) as we know that the radius is given by -

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• 
• ........................(Answer)

(b) now for energy ....

• the total charge on the nucleus is = 19 e =19 1.6 10^-19 C = 30.4 10^-19 C
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• putting the values
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• 
• ...............................(answer )

(3) now for binding energy

• 
• 
• 
• ........................(answer)