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 f, 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.

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 f, 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.