Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be

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A circle

An ellipse

A straight line

A parabola

answer is C.

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Detailed Solution

If y1=a1sinω t and y2=a2sin(ω t+0)=a2sinω t⇒y12a12+y22a22−2y1y2a1a2=0⇒y2=a2a1y1This is the equation of straight line.

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