Engineers are developing a specialized optical fiber for high-powered laser experiments. The fiber's core is made of chalcogenide glass with a refractive index of 2.40, while its coating is composed of a new glass type with a refractive index of 2.20. Determine the cone of acceptance for this cutting-edge optical fiber, assuming it can be accurately modeled as a cylindrical structure with a flat entrance surface.

Find the greatest value of angle θ at which the edge PQ of the solid glass can be shaped so that a light wave moving parallel to the vertical part of the glass will bounce back into the glass when it hits edge PQ. Take the glass in the air and the refractive index of the glass is 1.70.

Determine the maximum value of angle θ at which the upper face PQ of the glass rod can be cut so that a light wave traveling parallel to the vertical part of the rod will be reflected back into the rod when it strikes face PQ. Consider the rod immersed in water with a refractive index of 1.33 and the refractive index of rod material is 1.70.

Determine the angle at which the light wave gets refracted when it passes from liquid to air with an angle of incidence of 32°. The value of the critical angle for total internal reflection at the liquid-air interface is 41°.