Classical Mechanics-Lagrangian and Hamiltonian Formalism and Equations of Motion (CSIR Physical Sciences): Questions 11 - 11 of 11

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Question number: 11

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2011



The Hamiltonian of a particle of unit mass moving in the XY – plane is given to be:

H=xPxyPy12x2+12y2 in suitable units. The initial values are given to be (x(0),y(0))=(1, 1) and (Px(0),Py(0))=(12,12) . During the motion, the curves traced out by the particles in the xy – plane and the PxPy plane are (June)


Choice (4) Response


both hyperbolas


both straight lines


a hyperbola and an ellipse, respectively


a straight line and a hyperbola respectively

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