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Quark Model of the Neutron According to the quark model of
Chapter 20, Problem 89GP(choose chapter or problem)
Problem 89GP
Quark Model of the Neutron According to the quark model of fundamental particles, neutrons—the neutral particles in an atom's nucleus—are composed of three quarks. Two of these quarks are "down" quarks, each with a charge of —e/3; the third quark is an "up" quark, with a charge of +2e/3. This gives the neutron a net charge of zero. What is the electric potential energy of these three quarks, assuming they are equidistant from one another, with a separation distance of 1.3 × 10-15 m? (Quarks are discussed in Chapter 32.)
Questions & Answers
QUESTION:
Problem 89GP
Quark Model of the Neutron According to the quark model of fundamental particles, neutrons—the neutral particles in an atom's nucleus—are composed of three quarks. Two of these quarks are "down" quarks, each with a charge of —e/3; the third quark is an "up" quark, with a charge of +2e/3. This gives the neutron a net charge of zero. What is the electric potential energy of these three quarks, assuming they are equidistant from one another, with a separation distance of 1.3 × 10-15 m? (Quarks are discussed in Chapter 32.)
ANSWER:
Solution 89 GP:
Step 1 of 2:-
Here, we have to calculate the electric potential energy of the system containing three quarks in a neutron.
The charge of two of the quarks is,
The charge of the 3rd quark is,
The separation between each quark is,
.