Waves And Oscillations

An oscillating electric dipole of moment is placed at the origin as shown in the figure. Consider a point at a very large distance from the dipole. Here, , , and are spherical polar coordinates. Which of the following statements is/are true for the intensity of radiation?

The Lagrangian of a particle of mass is given by , where is a positive constant. If the particle oscillates with total energy , then the time period of oscillations is given by:

The value of is ___ (in integer).