The intensity of magnetic field at a point X on the axis of a small magnet is equal to the field intensity at another point Y on its equatorial axis. The ratio of distances of X and Y from the centre of the magnet will be-

$2^{1/3}$

$ B_{axial} = \frac{\mu_0}{4\pi} \frac{2M}{x^3}$

$ B_{equatorial} = \frac{\mu_0}{4\pi} \frac{M}{y^3}$

$ B_{axial} =B_{equatorial} $

$ \Rightarrow \frac{2}{x^3} = \frac{1}{y^3}$

$ \frac{x}{y} = 2^{1/3}$