Question

4. Experiment has shown the Strong nuclear force to be many orders of magnitude greater than the Coulomlb force at very small distances, but drops off more quickly and becomes negligible at distances larger than the nucleus of an atom. One possible function that obeys this behavior is given by a force that drops off as 1/r Imagine that you model the strong nuclear force as: Ba1a2 F. st where B is the proportionality constant (or the 'coupling constant) which determines the strength of the Strong force, a1 and a2 represent the nuclear charge, and it is assumed the force is always attractive. a) Explain (in words and sentences) why this type of force would be stronger than the Coulomb force at small distances but weaker at large distances. b) Derive an expression for the amount of energy required to move a particle from radius rı to a larger displacement, therefore doing work on the particle.

Answer 1

For finding out energy required we will do integration to find work done by force.

CATE PAGE NG Le a - constant F- »^ativa 2 2 2 づ-6