A particle of mass m oscillates along x -axis according to equation x=a sin t . The nature of the graph between momentum and displacement of the particle is:

Step-by-step solution

According to the question x= arsin t x a = t Now velocity V = d x d t =a t V a = t From eq. (i) and (ii) gathered x^2 a^2 + v^2 a^2 ^2 = ^2 t+ ^2 t x^2 a^2 + v^2 a^2 ^2 =1 gathered This is the equation of ellipse. So the graph between moment and displacement of particle is ellipse.