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A 100-kHz signal is applied to the horizontal channel of an oscilloscope. A signal of unknown frequency is applied to the vertical channel. The resultant wave form has 5 loops displayed vertically and 2 loops horizontally. The unknown frequency is:
40 kHz
For Lissajous figures, F_vertical / F_horizontal = (Number of horizontal loops) / (Number of vertical loops). So, F_unknown / 100 kHz = 2 / 5. F_unknown = (2/5) * 100 kHz = 40 kHz. (Note: 'vertical loops' means horizontal tangencies, 'horizontal loops' means vertical tangencies).
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