Poisson brackets — CSIR Net PYQ (Question 1)

A Poisson brackets previous-year question (PYQ) from Classical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 1 of 5 · 3.5 marks

A particle in two dimensions is in a potential

V (x, y) = x + 2 y

. Which of the following (apart from the total energy of the particle) is also a constant of motion?

1 $p_{y} - 2 p_{x}$
2 $p_{x} - 2 p_{y}$
3 $p_{x} + 2 p_{y}$
4 $p_{y} + 2 p_{x}$

Correct answer: Option 1

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