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Question 19M.3.HL.TZ2.8

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Date May 2019 Marks available [Maximum mark: 5] Reference code 19M.3.HL.TZ2.8
Level HL Paper 3 Time zone TZ2
Command term Calculate, Define, Determine Question number 8 Adapted from N/A
8.
[Maximum mark: 5]
19M.3.HL.TZ2.8

A proton has a total energy 1050 MeV after being accelerated from rest through a potential difference V.

(a)

Define total energy.

[1]

Markscheme

total energy is the sum of the rest energy and the kinetic energy

Examiners report

Generally well answered by most candidates. A common mistake was to define the total energy in the context of classical mechanics.

(bi)

Determine the momentum of the proton.

[1]

Markscheme

«p2 c2 = 10502–9382 therefore» p=472«MeVc1»

Examiners report

Most candidates seemed to have the right starting points but mistakes were often made in attempting to convert units. The energy-momentum equation is generally best answered using only ‘MeV’ based units.

(bii)

Determine the speed of the proton.

[2]

Markscheme

γ = 1050 938 = 1.12  ✔

v = 0.45 c

OR

V = 1.35 × 10 8 «ms–1»  

 

Examiners report

An easy calculation, that was generally well answered.

(biii)

Calculate the potential difference V.

[1]

Markscheme

V = 112 «MV» ✔

Examiners report

Very few candidates realised that this question required a simple calculation using eV= KE = (γ-1)E.