Consider a very rough model of a beryllium atom. The nucleus consists of four protons and four neutrons, confined to a small volume of radius 10⁻¹⁵ m . The two 1s electrons form a spherical charge cloud at an average distance of 1.3 10⁻¹¹ m from the nucleus, while the two 2s electrons form another spherical cloud at an average distance of 5.2 10⁻¹¹ m from the nucleus. Determine the electric field at a point just insi

Step-by-step solution

By Gauss's law, the electric field at a distance r from the center of a spherically symmetric charge distribution depends only on the net charge enclosed within a sphere of radius r . For a point just inside the 1s cloud, the distance from the nucleus is r = 1.3 10⁻¹¹ m . Since the point is just inside the electron cloud, the sphere of radius r encloses only the nucleus. The electron clouds are outside this radius and do not contribute to the enclosed charge. The beryllium nucleus contains 4 protons, so the enclose