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Chapter 30: Problem 4

Show that the charge of the neutron and the charge of the proton can be derived from their constituent quark content.

Short Answer

Expert verified
Answer: The charge of a neutron is 0 elementary charge units, and the charge of a proton is +1 elementary charge unit.

Step by step solution

01

Identify the quark content of a neutron

The neutron is composed of one up quark and two down quarks.
02

Identify the quark content of a proton

The proton is composed of two up quarks and one down quark.
03

Determine the charge of each quark

The charge of an up quark is +2/3 elementary charge units, while the charge of a down quark is -1/3 elementary charge units.
04

Calculate the charge of a neutron

To find the charge of a neutron, add the charges of its constituent quarks: one up quark and two down quarks. Charge of a neutron = (1 * (+2/3)) + (2 * (-1/3)) = +2/3 - 2/3 = 0 elementary charge units.
05

Calculate the charge of a proton

To find the charge of a proton, add the charges of its constituent quarks: two up quarks and one down quark. Charge of a proton = (2 * (+2/3)) + (1 * (-1/3)) = +4/3 - 1/3 = +3/3 = +1 elementary charge unit. Therefore, we have derived the charges of a neutron (0 elementary charge units) and a proton (+1 elementary charge unit) from the charges of their constituent quarks.

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Most popular questions from this chapter

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