The graph which depicts the results of Rutherford gold foil experiment with α -particles is: θ : Scattering angle Y : Number of scattered α -particles detected (Plots are schematic and not to scale)

Step-by-step solution

Rutherford carried out an experiment in which he bombarded a thin sheet of gold foil with α -particles and then analysed the trajectory of these particles after they collided with the gold foil. For a detector at a specific angle with respect to the incident beam, the number of particles per unit area striking the detector is given by the Rutherford formula, Y θ = N i n L Z 2 k 2 e 4 4 r 2 K E 2 sin 4 θ 2 Here, N i = Number of incident alpha particles, n = Atoms per unit volume in target, L = Thickness of target, Z