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Question 21M.2.SL.TZ1.b.ii

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Date May 2021 Marks available [Maximum mark: 1] Reference code 21M.2.SL.TZ1.b.ii
Level SL Paper 2 Time zone TZ1
Command term Sketch Question number b.ii Adapted from N/A
b.ii.
[Maximum mark: 1]
21M.2.SL.TZ1.b.ii

On a guitar, the strings played vibrate between two fixed points. The frequency of vibration is modified by changing the string length using a finger. The different strings have different wave speeds. When a string is plucked, a standing wave forms between the bridge and the finger.

                                                       

The string is displaced 0.4 cm at point P to sound the guitar. Point P on the string vibrates with simple harmonic motion (shm) in its first harmonic with a frequency of 195 Hz. The sounding length of the string is 62 cm.

Sketch a graph to show how the acceleration of point P varies with its displacement from the rest position.

                 

[1]

Markscheme

straight line through origin with negative gradient ✓

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