Question

For a conservative holonomic dynamical system, the Lagrangian L, kinetic energy T and potential energy V are connected by
1. L = T + V
2. L = T - V
3. L = 2T + V
4. L = 2T - V

Answer 1

Correct Answer - Option 2 : L = T - V

In classical physics, the difference between the kinetic energy and potential energy of a body is called it's Lagrangian. It is denoted by the letter "L".

L = T – V

If T and V represent the kinetic and potential energies of a body respectively the Hamiltonian is given by T + V.