Step 1: Understanding Rutherford's Model
In Rutherford's model, electrons revolve around the positively charged nucleus, but this system is unstable. Due to the continuous acceleration of electrons, electromagnetic radiation is emitted, causing the electrons to spiral inward, leading to collapse.
Step 2: Understanding Thomson's Model
In Thomson's model, the electrons are embedded in a uniform positive charge distribution (often referred to as the "plum pudding model"). This model assumes the atom as electrically neutral and stable without the collapsing problem seen in Rutherford’s model.
Step 3: The Correct Answer
Option (c) is correct because, according to classical electrodynamics, an electron moving in a circular orbit under the influence of Coulomb force would continuously radiate energy and spiral inward, leading to the atom's collapse. This is the key flaw in Rutherford’s model.
Final Answer: A classical atom based on Rutherford's model is doomed to collapse.