## A particle of mass M moves in a plane under the influence of a force F = – kx directed towards the origin. What is the Lagrangian of the system in polar coordinate (r, θ)

A particle of mass M moves in a plane under the influence of a force F = – kx directed towards the origin. What is the Lagrangian of the system in polar coordinate (r, θ):

or

When a particle is moving under a central force, then the force is conservative and the motion is in a plane.

Kinetic energy

or

Potential energy

Relation between force and potential energy.

Lagrangian of the system

or

- Given a wave with the dispersion relation ω = ck + m for k > 0 and m > 0, which of the following is true?
- Which of the following Maxwells equations implies the absence of magnetic monopoles?
- If a particle is moving along a sinusoidal curve, the number of degrees of freedom of the particle is
- Consider a transformation from one set of generalized coordinates and momentum (q, p) to another set (Q, P) denoted by
- Constraints that can be expressed as equations of coordinates and time
- Which of the following are the correct relativistic relation between energy (E), momentum (p), and mass (m) of a particle
- Let the wavefunction of the electron in a hydrogen atom be
- According to Yukawa theory the nuclear force between the nucleons acts through the exchange of