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Question

In a quark model of elemetary particles, a neutron is made of one up quark of charge 23e and two down quark of charges (13e). If they have a triangle configuration with side length of the order of 1015m. The electrostatic potential energy of neutron in MeV is

A
7.68
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B
5.21
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C
.048
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D
9.34
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Solution

The correct option is D .048
Fig shows the quark model of a neutral, where r=1015m.
Potential energy of neutron
V=14πϵ0r[qeqd+quqd+quqd]

=9×1091015[(e3)(e3)+(2e3)(e3)+(2e3)(e3)]

V=9×1091015(1949)(1.6×1019)2=7.68×1014J

V=7.68×10141.6×1019eV=4.8×105eV=0.48MeV

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