Concave Mirror do f do Real Image f
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Concave Mirror do > f do Real Image f di
Concave Mirror do > f di do f ho hi
The Mirror Equation: Similar triangles: Recall: Combining both:
See examples p 780
Concave Mirror Practical Activity Equipment: • meter ruler • candle • concave mirror (f ~ 20 cm ? ? ? ) Object location 1) do > 2 f For the 3 object locations listed ~ Sketch a ray diagram ~ state the nature of the image ~ record di (so as to be able to calculate f) Investigate the image produced for 2) do = 2 f 3) 2 f > do > f 1) do = f 2) do < f
Magnification Equation Magnification Triangles are similar: and
10. 2 Suppose you place a 5. 0 cm tall spring in front of a concave mirror. The mirror has a focal length of 24 cm. The spring forms an image that appears to be at the same position as the spring, but the image is inverted. a. Where did you place the spring? ho = 5 cm f = 24 cm do = d i do = 2 f = 2(24) = 48 cm
b. How tall is the spring’s image? ho = 5 cm hi = -ho = - 5 cm (inverted)
Concave Mirror do < f do di f Virtual Image
Concave Mirror do < f do di hi ho f negative
f =10 cm 15 cm ho=10 cm What is di ? What is m ? What is hi ? di = ?
Convex Mirror
Convex Mirror Virtual Image do di f
ho hi do di negative Convex Mirror
The security mirrors in shops are convex and spherical. The photograph below shows a security mirror in a grocer shop. Copy the two axes representing the principal axis and the mirror. Draw a ray diagram showing how the image is formed. NCEA 90768 2005 object image F
10. 3 When you hold a convex mirror 21 cm from your eye, your image forms 7. 0 cm behind the mirror. a. What is the magnification of the image? do = 21 cm di = - 7 cm = +0. 33
b. What is the mirror’s focal length and radius of curvature? do = 21 cm di = - 7 cm = - 10. 5 cm R = 2 f = 2(-10. 5) = -21 cm
A mirror is behind a cloth and cannot be seen. Determine its type, whether the image is real or virtual, and the sign of the magnification M. Object Cloth Image 1. 2. 3. 4. 5. 6. Concave mirror, real image, M is positive Concave mirror, real image, M is negative Concave mirror, virtual image, M is positive Concave mirror, virtual image, M is negative Convex mirror, virtual image, M is positive Convex mirror, virtual image, M is negative
A mirror is behind a cloth and cannot be seen. Determine its type, whether the image is real or virtual, and the sign of the magnification M. object image Cloth 1. 2. 3. 4. 5. 6. Concave mirror, real image, M is positive Concave mirror, real image, M is negative Concave mirror, virtual image, M is positive Concave mirror, virtual image, M is negative Convex mirror, virtual image, M is positive Convex mirror, virtual image, M is negative
Convex or concave Mirror? di = -40 cm, do = 60 cm f =? What is m?
The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 18 cm behind the mirror. What kind of mirror is it, and what is its radius of curvature?
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