JEE Main201815 Apr 2018Evening ShiftPhysicsOscillationsActual
Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures. x(t)=A (a t+ )y(t)=B (b t) Identify the correct match below
Options
- AParameters: A = B , a =2 ~b ; = 2 ; Curve: Circle
- BParameters: A = B , a = b ; = 2 ; Curve: Line
- CParameters: A B , a = b ; = 2 ; Curve: Ellipse
- DParameters: A B , a = b ; =0 ; Curve: Parabola
Correct answer
C. Parameters: A B , a = b ; = 2 ; Curve: Ellipse
Step-by-step solution
From the two mutually perpendicular S.H.M.'s, the general equation of Lissajous figure, x^2 A^2 + y^2 B^2 - 2 x y A B = ^2 aligned &x=A (a t+ ) &y=B (b t+r) aligned Clearly A B hence ellipse.