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Question 22M.2.HL.TZ1.7c.ii

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Date May 2022 Marks available [Maximum mark: 2] Reference code 22M.2.HL.TZ1.7c.ii
Level HL Paper 2 Time zone TZ1
Command term Deduce Question number c.ii Adapted from N/A
c.ii.
[Maximum mark: 2]
22M.2.HL.TZ1.7c.ii

Two identical positive point charges X and Y are placed 0.30 m apart on a horizontal line. O is the point midway between X and Y. The charge on X and the charge on Y is +4.0 µC.

A positive charge Z is released from rest 0.010 m from O on the line between X and Y. Z then begins to oscillate about point O.

(c.ii)

Deduce whether the motion of Z is simple harmonic.

[2]

Markscheme

ALTERNATIVE 1

motion is not SHM ✓

«because SHM requires force proportional to r and» this force depends on 1r2 ✓


ALTERNATIVE 2

motion is not SHM ✓

energy-distance «graph must be parabolic for SHM and this» graph is not parabolic ✓

Examiners report

This was a challenging question for candidates. Most simply assumed that because the charge was oscillating that this meant the motion was simple harmonic. Some did recognize that it was not, and most of those candidates correctly identified that the relationship between force and displacement was an inverse square.