Hi all - I have been trying to evaluate part II of this problem for a long time now...
For a simplified model of a proton's charge distribution,
- Find the constant of proportionality required to normalise ρ correctly.
- Show that
The Attempt at a Solution
I have done part I by method of integrating rho(r)dV between 0 and infinity and setting it equal to 1. dV in this case would just be 4*pi*r^2*dr with no angular dependence.
I have got the constant of proportionality as 1/4*pi*R^2
When I attempt to do part II all I get to is a horrible integral with an exponential and a sin function in... Am I going about this correctly, should i follow through with the cyclic integral?