2020 A/L Physics Past Paper · Question 06 (English Medium)

The quark content of a proton and a neutron

The quark contents of a proton (p) and a neutron (n) respectively are

  1. (1) ssd, sdd
  2. (2) udd, uus
  3. (3) ssd, uud
  4. (4) uud, udd
  5. (5) udd, uud
Answer and explanation

Answer: (4) uud, udd

What the question asks

We must find: which three quarks make up a proton and a neutron — "respectively" means the proton first, then the neutron.

Relevant theory

the proton and neutron are a combination of three quarks.

An

important property of quark particles is that the magnitude of their charge is 1/3 or 2/3 of

the charge of an electron.

The proton is made up of two u quark particles of charge +2/3 and one d quark particles

of charge -1/3. So, the charge of the portion is +1.

The neutron is made up one u quark particle and two ൽ quark particles. Therefore, the

charge of the neutron is zero.

According to this, most of the matter in the universe are

made up of u and d quarks and electrons. All the other fundamental particles can be

observed only in the collisions between cosmic rays and high energy particles.

Reading the options

Checking by charge (u=+23eu = +\tfrac{2}{3}e, d=−13ed = -\tfrac{1}{3}e): uuduud: 23+23−13=+1\tfrac{2}{3} + \tfrac{2}{3} - \tfrac{1}{3} = +1 — proton ✓; uddudd: 23−13−13=0\tfrac{2}{3} - \tfrac{1}{3} - \tfrac{1}{3} = 0 — neutron ✓. The order (p,  n)=The\,order\,(p,\; n) = (uuduud, uddudd) — option (4).

Why the other options fail

s quarks do not occur in ordinary matter.

uddudd is the neutron (charge 0); uusuus contains s.

ssdssd contains s; uuduud is the proton, not the neutron.

The order is swapped: uddudd is not the proton.

Conclusion

A proton =uud= uud (charge +1+1), a neutron =udd= udd (charge 00) — the answer is (4).

The quark content can be checked by charge: a proton's charge should come to +1+1, a neutron's to 00.

Exam tip

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