Differential equations

An oscillating electric dipole of moment d (t) = d0 cos(\omegat) ẑ is placed at origin as shown in figure. Consider a point P(r, 𝜃, \phi) at a very large distance from the dipole. Here r, 𝜃 and \phi are spherical polar coordinates. Which of the following statement is/are true for intensity of radiation?

Options:

• (A) Intensity is zero if P is on the z axis
• (B) Intensity is zero at P (r = R, 𝜃 = 𝜋 2 , \phi = 𝜋 4)
• (C) Intensity at P (r = R, 𝜃 = 𝜋 2 , \phi = 𝜋 4) is greater than that at P (r = R, 𝜃 = 𝜋 4 , \phi = 𝜋 4)
• (D) Intensity at P (r = R, 𝜃 = 𝜋 2 , \phi = 𝜋 4) is equal to that at P (r = R, 𝜃 = 𝜋 4 , \phi = 𝜋 4)