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When two simple harmonic motions of same...

When two simple harmonic motions of same periods, same amplitude, having phase difference of `3pi//2`, and at right angles to each other are super imposed, the resultant wave from is a

A

circle

B

parabola

C

ellipse

D

figure of eight

Text Solution

Verified by Experts

The `SHM`'s are `x=asin omegat` and `y=a sin (omegat+3pi//2)=-a cosomegat`
`:. x^(2)+y^(2)=a^(2)`
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