Total angular momentum operator

Could you please explain the two short questions I have attached? Thank you.

Sketches of angular momentum eigenfunctions

I have attached part of a problem. Could you please do part d, which involves sketching of three ang. momentum wavefunctions in the x - z plane with l=1 and m=-1, m=0 and m=1. Could you also please explain how you drew these graphs? Thank you.

In 2005 the Cassini spacecraft, in orbit around Saturn

Please see the attached file.

A problem on diffraction grating.

Please see the attachment.

Photoelectric Effect: Energy of photoelectrons emitted.

Light from a laser hits the surface of cesium. With a minimum photon energy of 2.14eV being required to remove photons. When the surface of cesium is illuminated with this light photoelectrons are emitted with a max kinetic energy of 0.76eV. Assuming that the Planck constant is 4.14x10^-15 eV Hz-1. What would be the energy of the photons comprising the beam of light from the laser? What color would the laser be?