1.

A particle of mass `2kg` moves under a force given by `vec(F)=-(8N//m)(xhat(i)+yhat(j))` where `hat(i)` and `hat(j)` are unit vectors in the `x` and `y` directions. The particle is projected from the origin in `xy` plane with an initial velocity `vec(v)=(3m//s)hat(i)+(4m//s)hat(j)`. Select correct statement(s).A. An elliptical path if `(v_(0))/a=3s^(-1)`B. A circular path if `(v_(0))/a=5s^(-1)`C. A circular path if `(v_(0))/a=2s^(-1)`D. An elliptical path if `(v_(0))/a=1s^(-1)`

Answer» Correct Answer - A::C::D
For circular path amplitude of SHM along both axis must be same.
`v_(0)=aomega`


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