4500HWC02

# 4500HWC02 - Concave Refractive Surface Negative Object...

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Unformatted text preview: Concave Refractive Surface - Negative Object Distance Light is propagating from left to right. An image is formed by a ﬁrst spherical surface (not shown in ﬁgure) between air (to the left) and glass (to the right) of index of refraction of 1.5. The image is formed in the glass at the location indicated by the verti— cal line near the right—hand side of the ﬁgure. Now, however, a second spherical surface is introduced into this optical system. The second spherical surface (shown in the ﬁgure) is a concave surface and has a radius of curvature of 50 mm. The center of curvature is located to the left of the surface. This second surface is located 200 mm to the left of the image from the ﬁrst surface. The image from the ﬁrst surface now becomes the ob— ject for the second surface. The object distance for the second surface is thus negative according to the standard convention. The index of refraction to the left of the second surface is 1.5. The index of refraction to the right of the second surface is 1.0 (air). Second Surface Calculate, showing all work, the location and magniﬁcation of the new image due to the combination of the two surfaces. Express your answers accurately to four signif- icant ﬁgures. SpecifyL whether the image is left or right of the second surface. Specify whether it is a real or virtual image. Put your ﬁnal answers in the spaces provided. Using a distance between tick marks of 50 mm, draw on the above diagram, the object, the parallel ray, the chief ray, the focal ray, and the image. 3 Magnitude of image distance from second surface 2 mm The image is to the (left) (right) of the second surface. (Circle one.) || 7 Magnitude of linear magniﬁcation The image is (real) (virtual). (Circle one.) Concave Refractive Surface - Negative Object Distance R = —50mm, n1 = 1.50, n2 2 1.00, s 2 —200mm R f1 = L. = +150mm n2 - n1 R f2 = ~133— = +100mm 712 — n1 m 712 _ 112—711 s + 3’ — R ' "2 R s 7118, . . m = -— = +0.42857 (upright real 1mage) ...
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