A double-convex thin lens is made of glass with an index of refraction of 1.56. The radii of curvature of the faces of the lens are 53 cm and 84 cm. What is the focal length of the lens? Give the answer in cm to one decimal place please.

An object located 1.15 cm in front of a spherical mirror forms an image located 12.0 cm behind the mirror. (a) What is the mirror's radius of curvature (in cm)? cm (b) What is the magnification of the image?

A thin, convex lens with a focal length of 6.0 cm is used to form images. A variety of object distances will be used. Sort the object distances below according to what type of image will be formed. No image Virtual image Real image Answer Bank 6.0 cm 7.0 cm 12.5 cm 2.5 cm 0.5 cm 4.5 cm

You are working in an optical research laboratory. Your supervisor requests that you build her a beam expander with specifications required by her experiment. A beam expander is a series of two lenses on the same principal axis. A beam of laser light covers the total area of the first lens, which focuses the parallel rays at its focal point. A second lens with a longer focal length and a larger radius is placed on the axis so that the rays expanding from the focal point of the first lens cover the area of the second lens. The outgoing rays of the second lens are parallel. The net result is that the diameter of the outgoing laser beam is larger than the original beam. Your supervisor provides you with a lens of focal length f₁ = 1.30 cm. Its diameter matches that of an incoming laser beam of diameter d₁ = 0.150 cm. She wants the beam expanded to a diameter of d₂ = 0.690 cm. She asks you to find the following. (a) the focal length ₂ necessary for the second lens (in cm) cm (b) the…