Simple Harmonic Motion: Lissajous Figures MCQ

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Lissajous FiguresHardQuestion 31182

Question

A particle executes SHM along x and y axes with frequencies in ratio 1:2 and same initial phase. The Lissajous figure traced is:

A
Circle
B
Straight line
C
Figure-eight (∞ shape)
Correct
D
Ellipse

Correct answer

Figure-eight (∞ shape)

Explanation

For f_x:f_y = 1:2 with zero phase difference, the Lissajous figure is a figure-eight. The specific shape depends on the phase difference and frequency ratio.

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