Question

Please provide a descriptive explanation behind the work used to solve the problem

Problem 11-Imaging: You are given a plano-convex lens. The glass has a refractive index of 1.5. The magnitude of radius of curvature of the convex surface is 100 mm. You want to create an image 2 m from an object using the lens. You want the image to be as small as possible. a. What is the focal length of the lens? b. How far from the object should you place the lens? If the object is 7 cm tall, how tall will the image be? C.

Answer 1

soll 11 n=1.5 Ri= 100mm di = 2m - Ooloom Griven Data Part (a) Using the relation of focal length 1-6-16-1) {R-00] 1/2 = (lis- " 1000) 0.100 Hence, If= Part (by f = 200 mm focal length of the lene. u= object distance from the lens. V- di+u = 2+U using the len's equation -5-5 L 2+U 200x10-3 U

U - (2 +U) (2+UU 1 200 x103 -2 2u+U2 200*1003 2u+U? + 400*10-3 U2+2uto.t=0 Tua U= -0.2254m),–17746 m x VE 2-0.2254 m the lone As we V = 1.775 m Hence, the object is 2 25.4 mm far from in left hand side of leas. Partly h Thol h = 1.775x7cm 0. 2 254 Keight of Image Th= 55.124 cm magnification. m - W -11 / {ho=7an