Statement A: The magnetic force on a current element idl in magnetic filed B is non-central because the force Bidl sin$\mathrm{\theta }$ is not function of ‘r’.
Statement B : When a solar flare occurs, large number of electrons and protons are ejected by sun, they enter the earth’s atmosphere, collide with atoms and molecules of atmosphere at poles, it results the beautiful display of colours at poles called Aurora boriolis. 

Biot Savart law states that the magnetic field due to a tiny current element at any point is proportional to the length of the current element, the current, the sine of the angle between the current direction and the line joining the current element and the point, and inversely proportional to the square of the distance of that point.

In the ionosphere, the ions of the solar wind collide with atoms of oxygen and nitrogen from the Earth's atmosphere. The energy released during these collisions causes a colorful glowing halo around the poles an aurora.