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Date May 2019 Marks available 1 Reference code 19M.2.SL.TZ2.5
Level Standard level Paper Paper 2 Time zone 2
Command term Label Question number 5 Adapted from N/A

Question

A proton moves along a circular path in a region of a uniform magnetic field. The magnetic field is directed into the plane of the page.

Label with arrows on the diagram the magnetic force F on the proton. 

[1]
ai.

Label with arrows on the velocity vector v of the proton.

[1]
aii.

The speed of the proton is 2.16 × 106 m s-1 and the magnetic field strength is 0.042 T. For this proton, determine, in m, the radius of the circular path. Give your answer to an appropriate number of significant figures.

[3]
b.

Markscheme

F towards centre ✔

ai.

v tangent to circle and in the direction shown in the diagram ✔

aii.

« q v B = m v 2 R » R = m v q B / 1.673 × 10 27 × 2.16 × 10 6 1.60 × 10 19 × 0.042  

R = 0.538 «m»✔

R = 0.54 «m» ✔

b.

Examiners report

Examiners were requested to be lenient here and as a result most candidates scored both marks. Had we insisted on e.g. straight lines drawn with a ruler or a force arrow passing exactly through the centre of the circle very few marks would have been scored. For those who didn’t know which way the arrows were supposed to be the common guesses were to the left and up the page. Some candidates neglected to label the arrows.

ai.

Examiners were requested to be lenient here and as a result most candidates scored both marks. Had we insisted on e.g. straight lines drawn with a ruler or a force arrow passing exactly through the centre of the circle very few marks would have been scored. For those who didn’t know which way the arrows were supposed to be the common guesses were to the left and up the page. Some candidates neglected to label the arrows.

aii.

This was generally well answered although usually to 3 sf. Common mistakes were to substitute 0.042 for F and 1 for q. Also some candidates tried to answer in terms of electric fields.

b.

Syllabus sections

Core » Topic 6: Circular motion and gravitation » 6.1 – Circular motion
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Core » Topic 6: Circular motion and gravitation
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