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Can you help me do the first 5 question with showing and showing all steps please. And can you also explain any uncommon terms and

Can you help me do the first 5 question with showing and showing all steps please. And can you also explain any uncommon terms and explains how you are manipulating the equations. Answers are in there. Thank you so much

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SNC 2D Mirror Eguation Questions bGSEd on H16 geometry of The rays theoretically reflecting from a curved mirror, the mirror equao/t is derived to be: do = distance to object 1 1 1 E +E = 3' di : distance to image f: focal length the conventions for this equation include: . all distances are measured from the vertex of a curved mirror . distances of real objects and images are positive object heights and image heights are positive when measured upward from The principal axis, and negative when measured downward magm'caf/bn aqua from the -ve sign is added to agree with The sign convention USed above Practice: 1. 10. Determine The image distance in each of the following. a) A converging mirror has a focal length of 15 cm. An object is placed (i) 40 cm, and (ii) 10 cm from the mirror. (24 cm, -30 cm) b) A diverging mirror has a focal length of '20 cm. An object is placed (i) 10 cm, and (ii) 30 cm from the mirror. (6.7 cm, -12 cm) A candle 3.0 cm high is placed 30 cm from a converging mirror with a focal length of 20 cm. Using the mirror and magnification equations, determine the image position and its height. From these results, provide the image characteristics (5.A.L.T.) (d.= 60 cm: 11; = -6.0 cm) A converging mirror has a focal length of 20 cm. Where should an object be placed so that its virtual image will be twice as tall as the object? (10 cm) A woman looks at herself in a magnifying converging mirror whOSe focal length is 20 cm. If her face is 10 cm from the mirror, 0) at what distance from the mirror is her image? b) what is The magnification of her face? (+2) A 2.0 cm high candle is placed 15 cm in front of a concave mirror with a focal length of 30 cm. How far \"behind" the mirror does the candle appear, and how large is it? (-30 cm. 4 cm) A trucker sees the image of a car passing her truck in her diverging rear-view mirror, whose focal length is -60 cm. If the car is 1.5 m high and 6.0 m away, what is the size and location of (-20 cm) the image? (13.5 cm, 54 cm) A spherical, polished metallic ball is used as a diverging mirrorb's -20 cm) over a birdbath. A bird, 25 cm tall, standing 50 cm away, looks directly at the mirror. What are the size and position of the bird's image? (7.2 cm, -14 cm) When standing 2.0 m in front of an amusement park mirror, you notice that your image is three times taller. What is the radius of curvature of the mirror? (6.0 m) A child looks at his reflection in a spherical Christmas tree ornament 8.0 cm in diameter, and sees that the image of his face is reduced by onehalf. How far is his face from the ornament? (2.0 cm) s a focal length of 15 cm. Where would you place an object in order to A converging mirror ha produce an erect virtual image twice as tall as the object? (d, : 7,5 cm)

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