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Date November 2011 Marks available 3 Reference code 11N.3.HL.TZ0.13
Level Higher level Paper Paper 3 Time zone Time zone 0
Command term Determine Question number 13 Adapted from N/A

Question

This question is about relativistic energy and momentum.

A proton is accelerated from rest through a potential difference V. The proton reaches a speed of 0.970c. Determine the value of V.

[3]
a.

Calculate, after acceleration for the proton in (a), its

(i) mass.

(ii) momentum.

[2]
b.

Markscheme

V=(γ–1)938×106;
\(\gamma = \left( {\frac{1}{{\sqrt {1 - {{\left( {0.970} \right)}^2}} }}} \right) = 4.11\);
V=(3.11×938×106=) 2.92×109V or 2.92GV;

a.

(i) 3.86×103MeVc-2 or 3.86GeVc-2;

(ii) 3.74×103MeVc-1 or 3.74GeVc-1;

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Option A: Relativity » Option A: Relativity (Additional higher level option topics) » A.4 – Relativistic mechanics (HL only)
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