A) a circle
B) an ellipse
C) a straight line
D) a square
Correct Answer: A
Solution :
Two simple harmonic waves of same amplitude and frequency with phase difference\[\frac{\pi }{2}\] in\[x\]and \[y-\]directions respectively are written as: \[x=a\sin \omega t\] ?(i) \[y=a\sin \left( \omega t+\frac{\pi }{2} \right)\] ?(ii) From Eqs.(i) and (ii), \[\sin \omega t=\frac{x}{a}\] ?(iii) \[\sin \left( \omega t+\frac{\pi }{2} \right)=\cos \omega t=\frac{y}{a}\] ?(iv) Squaring and adding Eqs. (iii) and (iv), we have \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] This is an equation of a circle.You need to login to perform this action.
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