The Hamiltonian of a particle is $$H = \frac{{{p^2}}}{{2m}} + pq,$$   where q is generalised coordinate and p is the corresponding canonical momentum. The Lagrangian is

The Hamiltonian of a particle is $$H = \frac{{{p^2}}}{{2m}} + pq,$$   where q is generalised coordinate and p is the corresponding canonical momentum. The Lagrangian is Correct Answer $$\frac{m}{2}{\left( {\frac{{dq}}{{dt}} - q} \right)^2}$$

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