Monday, December 31, 2018

A cathode-ray oscilloscope (c.r.o.) is used to determine the frequency of a sound wave. The diagram shows the waveform on the screen.


Question 6
A cathode-ray oscilloscope (c.r.o.) is used to determine the frequency of a sound wave.
The diagram shows the waveform on the screen.



The time-base setting is 5.0 ms / div.
What is the frequency of the sound wave?
A 57 Hz                       B 71 Hz                       C 114 Hz                     D 143 Hz





Reference: Past Exam Paper – June 2018 Paper 13 Q22





Solution:
Answer: B.


The time-base setting is 5.0 ms / div.
That is, 1 div represents 5.0 mV.


To have a correct measurement, we need to find positions where the waves occupy a ‘whole’ number of divisions.

2.5 waves occupy 7 divisions.

2.5 T - - > 7 divisions
2.5 T = 7 × 5.0
T = 7 × 5.0 / 2.5

Period T = 14 ms = 14×10-3 s


Frequency = 1 / T = 1 / (14×10-3)
 
Frequency = 71 Hz

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