Question

A spherical mirror is to be used to form an image 2.60 times the size of an object on a screen located 4.60 m from the object. (a) Is the mirror required concave or convex? concave convex (b) What is the required radius of curvature of the mirror? 2.56 Your response differs from the correct answer by more than 10%. Double check your calculations, m X (c) Where should the mirror be positioned relative to the object? 1.77 X Your response differs from the correct answer by more than 10%. Double check your calculations. m from the object

Answer 1

Size of image hi = 2.6x Bize of object tho) "hi = 2.6h0 Ivl= hi » IVE +2,64) (1) where vand u are distance. Of image and object from mivior respectively. . image object 6 (Rough diagram to understand) V = 2.61 From diagram v= 4,6 + -lis Putting value of v prom (i) into us, we get +2.6u = 4.6 +u => +3,60 = 466 Il = 2. 87m , V = 747m Let Radius of Curvature sich We know t + 1 l = 2 / 21.44 Ř = 2.67 + trwy = 7,47+2.87 = 2,07 => R=4,14 m | Ris positive - This is concave mirrors . Position of mirror fecom ohject is 2187m