(a) In a quark model of elementary particles, a neutron is made of one up quarks [charge `(2//3)`e] and two down quarks [charges - `(1//3) e`]. Assume that they have a triangle configuration with side length of the order of `10^(-15) m`. Calculate electrostatic potential energy of neutron and compare it with its mass 939 MeV.
(b) Repeat above exercise for a proton which is made of two up and one down quark.

Options

A. 7.68
B. `-5.21`
C. 9.34
D. 9.34

Answer

C

Explanation

`V = (1)/(4pi in_(0)) ((q_(1) q_(2))/(r ) + (q_(1) q_(3))/(r ) + (q_(2) q_(3))/(r ))`