Can I get the answers for these optics problems?

1. An object, 3.00 em in height, is positioned 30.0 em in front of a spherical refracting surface (na = 1.33), which is placed in air, as illustrated in the figure below. The radius of curvature of the spherical surface is 5.00 cm. Assuming paraxial rays: a. Determine the location of the image. b. Calculate the size of the resulting image. yi 2. Light from an object is refracted by a thin biconvex glass lens (n/= 1.5) with a focal length of + 10.0 cm. a. If both surfaces have identical radii of curvature, what is their value? b. If an object is positioned 1.0 em from the lens, determine the image distance. Describe the resulting image and illustrate it with a ray diagram. c. Now, imagine submerging this lens in a liquid whose refractive index is 1.42. What are the new focal length and image distance? 3. Calculate the focal length in air for a thin plano-convex lens with a radius of curvature of -125 em and an index of refraction of 1.55. What changes, if any, would occur to the focal length if the lens were submerged in a tank of water? 4. Two lenses with focal lengths of 100 mm and -75 mm are separated by a distance of 250 mm. An object of height 10 mm is place at 150 mm in front of the thin positive lens. a. Show that the first lens forms an image 300 mm behind it. b. What kind of image would this be? What's its magnification? Describe it. c. Obtain the image distance formed by second lens. d. What is the total magnification of the combination? e. What is the front and back focal length for this lens combination? 5. Determine the magnification of an object positioned 6.20 mm away from a compound microscope. The microscope consists of a 6.00 mm-focal length objective and a 50.0 mm-focal length eyepiece. The objective and eyepiece are separated by 23.0 cm. Draw the ray diagram