In Geiger-Marsden experiment, the number of scattered -particles N( ) is plotted as a function of scattering angle . Which of the following options represents the correct plot ?

Step-by-step solution

In the Geiger-Marsden ( -particle scattering) experiment, the number of -particles scattered at an angle is given by the Rutherford scattering formula: N( ) 1 ^4( /2) From this relation, we can observe the following: 1. For small values of , ( /2) is very small, making N( ) very large. Most -particles pass through with very little deflection. 2. As the scattering angle increases, ( /2) increases, causing the number of scattered particles N( ) to decrease rapidly. 3. The minimum number of scattered particles occurs