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How is Lissajous figures used to measure unknown frequency?
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The known and unknown signal sources are connected to X and Y plates of CRO respectively. By varying the frequency of the unknown source a stable loop pattern is displayed. Horizontal and vertical tangents to the loops are drawn.

The lines on the gratitude may be used instead the number of points at which the loops are touching the horizontal tangent and vertical tangents are noted. The unknown signal frequency is given by enter image description here

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