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

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b,c,d
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