If the Lagrangian of a particle moving in one dimensions is given by L= \(\frac{\dot x^2}{2x}\) - V(x), the Hamiltonian is

1
\(\frac{1}{2}\) xp2 + V(x)
2
\(\frac{x^2}{2x}\) + V(x)
3
\(\frac{1}{2}\) x2 + V(x)
4
\(\frac{p^2}{2x}\) + V(x)

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