A low cost apparatus for the demonstration of the Rutherford scattering by means of a gravitational analog of inverse square law repulsion. Comprises a wooden launching ramp about 300 x 50 x 105mm (L x W x H) with a guiding groove running down its curved face. Along its length there are index marks at 40, 60, 80 and 100mm above the base that provides 4 pre-determined launching heights. Also included is a spun aluminium hill about 280mm diameter and 60mm high along with a 19mm steel ball. The shape of the aluminium hill has been carefully determined by varying its height above the base line by an amount arrived on the basis of the reciprocal of the radius.