Scattering of Alpha Particles: Graph and Conclusions
The scattering of alpha particles by a thin foil (as in Rutherford’s experiment) can be represented by a plot of number of scattered particles versus scattering angle (\( \theta \)).
Graph:
In the graph: - The y-axis represents the number of alpha particles scattered. - The x-axis represents the scattering angle (\( \theta \)). - Most particles are scattered at very small angles, while very few are scattered at large angles.
Two Important Conclusions:
1. Most alpha particles pass through undeflected: This indicates that the atom is mostly empty space, allowing most alpha particles to go straight through the foil without any deflection.
2. Some particles are deflected at large angles: A small number of alpha particles experience large-angle deflections, which implies the presence of a very small, dense, positively charged nucleus at the center of the atom that repels the alpha particles.
Summary:
The plot confirms Rutherford’s nuclear model of the atom: atoms consist of a tiny, dense, positively charged nucleus surrounded by electrons, with most of the atom being empty space. The scattering distribution is key evidence for the nuclear structure of the atom.


Consider two blocks A and B of masses \( m_1 = 10 \) kg and \( m_2 = 5 \) kg that are placed on a frictionless table. The block A moves with a constant speed \( v = 3 \) m/s towards the block B kept at rest. A spring with spring constant \( k = 3000 \) N/m is attached with the block B as shown in the figure. After the collision, suppose that the blocks A and B, along with the spring in constant compression state, move together, then the compression in the spring is, (Neglect the mass of the spring)