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Question 22N.2.HL.TZ0.10

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Date November 2022 Marks available [Maximum mark: 6] Reference code 22N.2.HL.TZ0.10
Level HL Paper 2 Time zone TZ0
Command term Deduce, Estimate, Identify Question number 10 Adapted from N/A
10.
[Maximum mark: 6]
22N.2.HL.TZ0.10

The Feynman diagram shows a delta baryon (Δ) decaying into a neutron and particle X.

The exchange particle involved in the decay is a gluon. Particle X has two constituent quarks.

(a.i)

Identify the fundamental force responsible for the decay.

[1]

Markscheme

strong «nuclear» force ✓

Examiners report

Well answered.

(a.ii)

Deduce, referring to one conservation law, that X is a quark-antiquark pair.

[3]

Markscheme

ALTERNATIVE 1

attempt to apply conservation law of baryon number to the overall reaction ✓
baryon number of X is zero ✓
this is only possible if constituent quarks of X have an opposite baryon number ✓ «so quark-antiquark pair»

 

ALTERNATIVE 2

attempt to apply conservation law of charge to the overall reaction ✓
charge of X is −1 ✓

this is only possible if constituent quarks of X have charges of -23 and -13 ✓

«so quark-antiquark pair»

 

ALTERNATIVE 3

attempt to apply conservation law of baryon number OR charge to each vertex ✓

at first vertex, the unknown particle has charge -13 OR baryon number 13 hence a quark ✓

at second vertex, the unknown particle has charge -23 OR baryon number -13 hence an antiquark ✓

Examiners report

Generally, a well answered question for MP1 and 2 but details of the quarks were often missed for MP3.

(b)

The energy released in the decay is of the order of 108 eV.

Estimate, using the uncertainty principle, the mean lifetime of the delta baryon.

[2]

Markscheme

108×1.6×10-19  OR  1.6×10-11 seen ✓

Δt6.63×10-344π×108×1.60×10-19=3×10-24 «s» ✓

 

Award [2] for a BCA.

Award [1] for an answer of 5.3 × 10−43 s.

Allow ECF from MP1.

Examiners report

The most common problem was no conversion from eV.