In the following questions assume nah. = 1 and nwater = 1.33. 1. An object placed 13 cm to the left of a double-convex lens has its image 8 cm to the right of the lens. The radius of curvature of the left side of the lens is 4.5 cm and the radius of curvature of the right side of the lens is 3.5 cm. if the lens has an index of refraction of 1.6 and is immersed in a fluid, what is the index of refraction of the fluid? (4 marks) 1 Using the thin lens formula 5 + i, 2? and the magnification formula m = S 5 SI :write 3' and m in terms of s and f. (2 marks) Using the equations you derived in a. find i. where the image is if the object is at infinity. (1 mark) ii. the values of s where the image is smaller than the object. (1 mark) Determine the focal length of a lens designed to correct an eye whose Near Point is 50 cm to the Standard Near Point of 25 cm. (2 marks) Determine the focal length of a lens designed to correct an eye whose Far Point is 80 cm to the Standard Far Point at infinity. (2 marks) 4. The left end of a long glass rod 10.00 cm in diameter, with an index of refraction 1.60, is ground to a concave hemispherical surface with radius 5.00 cm. An object in the form of an arrow 2.0 mm tall, at right angles to the axis of the rod, is located on the axis 25.0 cm to the left of the concave surface. A not-to-scale sketch is shown below. a. Find the position of the image of the arrow formed by rays incident on the concave surface. (3 marks) b. Is the image real or virtual? (1 mark) Rod