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

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 389 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 250.00 or

Question number: 11

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

Appeared in Year: 2011

MCQ▾

Question

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)

Choices

Choice (4) Response

a.

both hyperbolas

b.

both straight lines

c.

a hyperbola and an ellipse, respectively

d.

a straight line and a hyperbola respectively

Sign In