This question is about the nucleus of uranium-235 (²³⁵₉₂ U), which has a mass of 3.89 × 10⁻²⁵ kg.

a. State the number of protons and neutrons in this nucleus.
b. The radius r of a nucleus is given by the equation:

r = 1.41 x 10^-15 A^1/3

Where A is the nucleon number of the nucleus.
Calculate the density of the ²³⁵₉₂ U nucleus.

c. Explain why the total mass of the nucleons is different from the mass of the U nucleus.

d. Without calculations, explain how you can determine the binding energy per nucleon for the uranium-235 nucleus from its mass and the masses of a proton and a neutron.