Q. A particle moves in x-y plane according to rule x = a sin ωt and y = a cosωt. The particle follows

A) An elliptical path
B) A circular path
C) A parabolic path
D) A straight line path inclined equally to x and y-axes
Explanation

[Solution from source] Squaring and adding x = a sin ωt and y = a cos ωt gives x² + y² = a²(sin²ωt + cos²ωt) = a², the equation of a circle of radius a. An ellipse would need unequal amplitudes, and a straight line would need the two motions to be in phase. Answer (2).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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