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)⎛⎜⎝0d1⎞⎟⎠, d∈R.
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 × B, a∈R+.
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)×(0−21) (M1)
=a(101530)(=5a(236)) A1
magnitude is 5a√22+32+62=14 M1
a=1435(=0.4) A1
[4 marks]
b.
Examiners report
[N/A]
a.
[N/A]
b.