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Question 19N.3.HL.TZ0.a(ii)

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Date November 2019 Marks available [Maximum mark: 2] Reference code 19N.3.HL.TZ0.a(ii)
Level HL Paper 3 Time zone TZ0
Command term Calculate Question number a(ii) Adapted from N/A
a(ii).
[Maximum mark: 2]
19N.3.HL.TZ0.a(ii)

A Σ+ particle decays from rest into a neutron and another particle X according to the reaction

Σ+ → n + X

The following data are available.

Rest mass of Σ+             = 1190 MeV c–2
Momentum of neutron    = 185 MeV c–1

Calculate, for the neutron,

the speed.

[2]

Markscheme

ALTERNATIVE 1

«use of E=γE0»

«958=940γ so» γ=1.019 ✔

v = 0.193

 

ALTERNATIVE 2

«use of p=γmv»

185=940vc1-vc2 ✔

v = 0.193

 

ALTERNATIVE 3

«use of p=γmv»

v=pcE

v=185958=0.193c ✔

 

NOTE: Allow v = 5.8 × 107 «ms–1»