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+1 vote
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in Physics by (69.4k points)

Two harmonic vibrations x = a sin (ωt + φ)  and y  = b sin ωt represent the displacement of a particle along x and y axis, respectively. If φ = π/2 then the trajectory of the particle will be:

(a)  ellipse

(b)  straight line with positive slope

(c)  straight line with negative slope

(d)  circle

1 Answer

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by (64.1k points)
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Best answer

Correct option  (a) ellipse 

Explanation:

 The resultant of two perpendiculars SHM given as

This is equation of an ellipse. 

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