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A Lissajous pattern on an oscilloscope has 5 horizontal tangencies and 2 vertical tangencies. The frequency of the horizontal input is 100 Hz. The frequency of the vertical input will be-
  • a)
    400 Hz
  • b)
    250 Hz
  • c)
    4000 Hz
  • d)
    5000 Hz
Correct answer is option 'B'. Can you explain this answer?
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A Lissajous pattern on an oscilloscope has 5 horizontal tangencies and...
 
 
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A Lissajous pattern on an oscilloscope has 5 horizontal tangencies and...
Explanation:

Lissajous pattern is a visual representation of the relationship between two waves which are perpendicular to each other. The pattern is formed when these two waves are graphed on the x and y-axes of an oscilloscope. The pattern formed depends on the frequency and phase difference between the two waves.

Given:

Horizontal tangencies = 5
Vertical tangencies = 2
Frequency of horizontal input = 100 Hz

Formula:

The formula to find the frequency of the vertical input is:
f(vertical) = n(horizontal) x f(horizontal) / m(vertical)

where n and m are the number of tangencies in the horizontal and vertical directions, respectively.

Substituting the given values, we get:
f(vertical) = 5 x 100 / 2 = 250 Hz

Therefore, the frequency of the vertical input is 250 Hz. Hence, the correct answer is option B.
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A Lissajous pattern on an oscilloscope has 5 horizontal tangencies and...
 
 
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A Lissajous pattern on an oscilloscope has 5 horizontal tangencies and 2 vertical tangencies. The frequency of the horizontal input is 100 Hz. The frequency of the vertical input will be-a)400 Hzb)250 Hzc)4000 Hzd)5000 HzCorrect answer is option 'B'. Can you explain this answer?
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