Part I: The Refraction of Light 1 Avray of light is propagating in water and strikes a plate of fused quartz. The angle of refraction in the quartz is measured to be 36.7. What is the angle of incidence? An osprey (bird) was 5.0 m above the surface of the water when it spotted a fish, apparently 0.50 m below the surface of the water. a. How far below the surface of the water is the fish swimming? b. From the fish perspective, how far above the surface of the water does the osprey appear to be? What is the critical angle for total internal reflection for a crown glass that is immersed in water? In which direction is the light going to have total reflectlonwater to glass or glass to water? Part Il: Thin Lemses For the following problems, find the image distance, image height, and the magnification using ray tracing and thin lens equation methods. In ray tracing, describe the image. [Use same scale as the sample problems and use graphing paper for the ray tracing.] 1. An object 4.0 cm high is placed 20 cm in front of a concave lens of focal length 80 cm. 2. A 2.0 cm high object is placed 40 cm in frant of a convex lens of focal length 20 cm. Name: Shane Shanker Calm ho = 4em do - 20 cm f= - 60 em ( Negative for Concave Lens) We know that Name : Shane Shanley Calo 2 1 4 = = di di f do -60 20 60 = ) di =-60 magnification y =-15 cm. 15 Negative Sign indicates mm z hi 2 - di image on the Same side ho as the object, hi = m ho hi- 3 x 4em = 3 cm. D i hi Di K Do Part TI (1) Concave lens.T Name: Shane Shanley Cal. (b ) from fish's perspective, the Osprey cubperes higher the to Refraction. Name : Shane Shanlly The apparent height is given Carlo ha = hx nw ha nw ha = 5 m x 1. 33 ha= 6.65 m. 3 Critical angle for total internal Reflection. Refurtive index of Clown glass noy = 1. 52 Refractive index of water nw = 1. 33 Juice - total internal Reflection occurs when Light travels from medium with a higher Refractive index to one with a lower refertive hidex . We caculate light going from Crown glass to water Therefore Citical angle Sin De Smic = 1.33 = 0.875 1 .52 Oc = Sin1 (0.875 ) Oc = 61' Total internal reflection will occur when Light levels from glass to water.Post I Name: Shane Shanley Calo 1. Angle of refertion in the qquartz is measured to be Un = 36. 7" We know that Refractive indicies of water n, = 1.33 and Quartz ng = 1- 46 using Snell's law nw SinDi = my Smoke 1. 33 x Smo; = 1.46 Sm ( 36. 7" ) Sin Di = 1. 46 x 0. 597 1 . 3 3 8 in 8 : = 0- 656 D . = Sm-' ( 0. 656 ) Di = 410 (b ) Height of bird above the Surface of water hy= Sm Apparen't depth of fish da = 0.5 m ( a) To find real depth of fish we use the Josmile du = da xmw w Refractive index de = 0. 5 m x 1. 33 of water da = 0.665 m. The fish is swimming 0: 665 m below the Surface of water de = w da nowho = 2em Do = 40cm f = 20 cm Name: Shane Shanley Carlo + do di magnification 1 m = hi 40 2 = - 2 0 no 40 di do hi = mho hi = 1 x 2 = 2 cm 20 40 1 di 40 di= yocm. di= 40 cm ho 2cm i hi = 2cm I = 20cm f = 20 em . do = 4cm Condrex Cans.ho = 4em do - 20 cm * = - 60 em ( Negative for Concave Lens) We know that Name : Shane Shanley Calo 1 = + = ? = 1 21 = 4 di di of do 60 = ) di =-60 =-15 cm. magnification 15 Negative Sign indicates mmz hi di = 2 image on the Same side ho do as the object. hi = m ho hi= 3 x 4em = 3 cm D K Di Do Part II Concave lens.b ) from fish's perspective, the Osprey cubperry higher the to Refraction. Name : Shane Shankly The apparent height is given Carlo ha ha = hx nw haz nw nair ha= 5 m x 1. 33 ha = 6.65 m. 3 Critical angle for total internal reflection. Refractive index of Crown glass noy = 1. 52 Refractive index of water nw = 1. 33 Juice - total internal Reflection occurs when Light travels from medium with a higher refractive index to one with a lower beforetive hidex. We caculate light going from Crown glass to water Therefore Cistical angle Sin De Smic = 1. 33 = 0.875 1:52 Oc = Sin1 (0.875 ) Oc = 610 Total internal reflection will occur when Light towels from glass to water