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GATE 2017 EE (EE2) – Question 19

Electrical and Electronic Measurements · Instrument transformers, Digital voltmeters and multi-meters, Phase, Time and Frequency measurement · 1 mark · Multiple choice

A stationary closed Lissajous pattern has 3 horizontal tangencies and 2 vertical tangencies. The horizontal input is 3 kHz. The vertical input frequency is

  1. 1.5 kHz
  2. 2 kHz
  3. 3 kHz
  4. 4.5 kHz

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Correct answer: (D) 4.5 kHz

Explanation

For a closed Lissajous pattern, the frequency ratio is given by the corresponding tangency counts. Horizontal tangencies occur at extrema of the vertical oscillation, and vertical tangencies at extrema of the horizontal oscillation.

Thus $f_y/f_x=3/2$. With fx=3 kHz, $f_y=(3/2)3=$ **4.5 kHz, D**.

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