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Date May Specimen paper Marks available 2 Reference code SPM.1.AHL.TZ0.11
Level Additional Higher Level Paper Paper 1 Time zone Time zone 0
Command term Find Question number 11 Adapted from N/A

Question

A particle P moves with velocity v(1524)1524 in a magnetic field, B = (0d1)0d1dR.

Given that v is perpendicular to B, find the value of d.

[2]
a.

The force, F, produced by P moving in the magnetic field is given by the vector equation F = av × BaR+.

Given that |F | = 14, find the value of a.

[4]
b.

Markscheme

15×0+2d+4=0      (M1)

d=2      A1

[2 marks]

a.

a(1524)×(021)     (M1)

=a(101530)(=5a(236))    A1

magnitude is 5a22+32+62=14     M1

a=1435(=0.4)    A1

[4 marks]

b.

Examiners report

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

Syllabus sections

Topic 3—Geometry and trigonometry » AHL 3.13—Scalar and vector products
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Topic 3—Geometry and trigonometry

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