Question

In a quark model of elementary particles, a neutron is made of one up quark of charge $\frac{2}{3}\epsilon$ and two down quark of charges $\left(\frac{-1}{3}e\right)$ . if they have a triangle configuration with a side length of the order of ${10}^{-15}$ m. the electrostatic potential energy of the neutron is MeV is:

• A. 7.68
• B. -5.21
• C. -0.48
• D. 9.34

Answer 1

The correct option is C -0.48

Quark model of element particles, a neutron is made of one up quark of charge $\frac{2}{3}\epsilon$ the two down quark at charge $(-\frac{1}{3}e)$.

We know,

Protons, neutrons are each composed of three quarks triangle configuration with side length of the order of $={10}^{-15}m$.

electronic potential energy $=\frac{1}{2}{mV}^2$

$=\frac{1}{2}{lq}^2$

$=\frac{1}{2}\times \frac{2}{3}\times (-\frac{1}{3}\times 2)\times {10}^{-15}$

$=\frac{2}{9}\times {10}^{-15}$

$=-0.48$