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# lecture27 - 7 Spherical mirror 1 Mirror equation C do h h h...

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7. Spherical mirror 1) Mirror equation C d i d o h α β φ θ θ = + + = + = φ β α θ φ β θ α φ 2 R h d h d h i < < φ β α α ; ; 1 0 R d d i 2 1 1 0 = + f R d d f R d d i o o i = = 2 if 2 if f d d i 1 1 1 0 = + focus 2 - = f R f Example: ? 0 . 3 0 . 1 - = = i o d m d m R m m d m m m d R d i i 6 . 0 0 . 5 0 . 3 0 . 3 0 . 5 0 . 3 1 0 . 1 2 1 2 1 0 = = = - = - =

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2) Magnification C o i o i d d h h m - = d i d o image erect - 0 if image inverted - 0 if < m m Example: What is magnification in the previous example? 2 . 0 0 . 3 6 . 0 - = - = - = m m d d m o i This image is real, inverted, and 5 times smaller than the object
3) Graphical method

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4) Image and object at various distances C F C F f d d i 1 1 1 0 = + focus 2 - = f R f o i o i d d h h m - = R d R d f d d i o i o 1 ; 0 ; 1 ; 0 ; 0 < < < < m m R d f R d m m R d f R d i i o 0 ; 0 1 1 1 < < < i i o o d d f d f d 0! f 1 ; 0 0 0 -∞ m d d f i 1 0 0; 0 0 0 < < m d f d f i 0 f=R/2 2f=R
Example: You are standing 3.0 m from a convex security mirror in a store.

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lecture27 - 7 Spherical mirror 1 Mirror equation C do h h h...

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