From the two mutually perpendicular S.H.M.'s, the general equation of Lissajous figure, A2x2+B2y2−AB2xycosδ=sin2δ x=Asin(at+δ)y=Bsin(bt+r) Clearly A=B hence ellipse.
Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures. x(t)=A sin (a t+δ) y(t)=B sin (b t) Identify…
JEE Main 2018 — Physics Waves & Oscillations
Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures. x(t)=Asin(at+δ) y(t)=Bsin(bt) Identify the correct match below
Held on 15 Apr 2018 · Verified 6 Jul 2026.
Options
- A
Parameters: A=B,a=2 b;δ=2π; Curve: Circle
- B
Parameters: A=B,a=b;δ=2π; Curve: Line
- C
Parameters: A=B,a=b;δ=2π; Curve: Ellipse
- D
Parameters: A=B,a=b;δ=0; Curve: Parabola
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