Practice Newtonian Mechanics - CSIR-UGC NET Offered by Unacademy

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Newtonian Mechanics

Quick practice

Question 1 of 5

The Lagrangian of a particle of mass m moving along x-coordinate is given by $L=\frac{1}{2} m \dot{x}^{2}-\frac{\lambda}{2} x \dot{x}^{2}$ where $\lambda$ is a constant. Choose the correct expression of Hamiltonian for the system.

A

$\frac{p_{x}}{(m-\lambda x)}$

B

$\frac{p_{x}^{2}}{2(m-\lambda x)}$

C

$\frac{p_{x}^{2}}{2(m+\lambda x)}$

D

$\frac{p_{x}}{2(m+\lambda x)}$