Can I get the answers for problems 1, 5, 6, 8 from these Optics problems? could you also include diagrams with the answers if it's possible.

Textbook:

Optics - Eugene Hecht, 5th edition, Pearson

Reference: Modern Optics - Robert Guenther, John Wiley and Sons (or any basic optics book would do).

1. A thick biconvex lens in air has an index of 1.810 and a thickness of 3.00 cm. Magnitudes of first and second radius of curvatures are 11.0 cm and 120 cm, respectively. a. Determine its system matrix A. b. What is the focal length of the lens? c. How far are the Principal planes from the corresponding vertices? d. What are the front and back focal lengths? e. If the object is located at 2 cm from the front vertex, what will the image be formed? f. What will be the size of the image if the object is 1 cm? 2. A concave-planar glass (n=1.50) lens in air has a radius of 10.0 m and a thickness of 1.00 cm. Determine the system matrix. At what positive angle (in radians measured above the axis) should a ray strike the lens at a height of 2.0 em, if it is to emerge from the lens at the same height but parallel to the optical axis? 3. The system matrix for a thick biconvex lens in air is given by 0.6 =26 0.2 08 Knowing that the first radius is 0.5 cm, that the thickness is 0.3 cm, and that the index of the lens is 1.5, find the other radius. 4. Linearly polarized light (with an irradiance of 200 W/m?) aligned with its electric-field vector at +55 from the vertical impinges perpendicularly on an ideal sheet polarizer whose transmission axis is at +10 from the vertical. What fraction of the incoming light emerges? 5. Polarimetry is an instrument that uses rotation of polarized light to estimate the concentration of a solution. Certain compounds such as sugar solution rotates the plane of polarized light. The phenomenon is called optical rotation and such substances optically active compounds. Jones matrix of certain sugar solution is an optically given by 1 +43 1443 2V2l1-v3 1443 a. Determine the polarization of the emerging light if the incident beam 1s a horizontal P-state. b. Determine the polarization of the emerging light if the incident beam 1s a vertical P-state. . Determine the angle of rotation produced by the optically active material. 6. Determine the state of polarization of the wave E(z,t) = E, [i cos (kz wt) + | sin (kz wt)] 7. Given incident 590 nm light, compute the minimum thickness which a quartz (no = 1.54, n. = 1.55) retarder must have if it 15 to be a quarter-wave plate. 8. Two ideal linear sheet polarizers are arranged with respect to the vertical with their transmission axis at 10 and 60, respectively. If a linearly polarized beam of light with its electric field at 40 enters the first polarizer, what fraction of its irradiance will emerge