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A particle at a distance r from the cent...

A particle at a distance r from the centre of a uniform spherical planet of mass M radius R (ltr) has a velocity of magnitude v.

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Match the column : A particle at a distance r from the centre of a uniform spherical planet of mass M radius R(lt r) has a velocity v magnitude of which is given in column I. Match trajectory from column II about possible nature of orbit. {:(,"Column I",,"Column II"),((A),0lt V lt sqrt((GM)/(r )),(P),"Straight line"),((B),sqrt((GM)/(r )),(Q),"Circle"),((C ),sqrt((2GM)/(r )),(R ),"Parabola"),((D),v gt sqrt((2GM)/(r )),(S ),"Ellipse"):}

Match the column : A particle at a distance r from the centre of a uniform spherical planet of mass M radius R(lt r) has a velocity v magnitude of which is given in column I. Match trajectory from column II about possible nature of orbit. {:(,"Column I",,"Column II"),((A),0lt V lt sqrt((GM)/(r )),(P),"Straight line"),((B),sqrt((GM)/(r )),(Q),"Circle"),((C ),sqrt((2GM)/(r )),(R ),"Parabola"),((D),v gt sqrt((2GM)/(r )),(S ),"Ellipse"):}

Escape velocity of a body from the surface of a spherical planet of mass M, radius R and density p is