A Christmas tree ornament with an 8.64-cm diameter serves as a convex mirror surface.
Determine the image distance of a 4-foot tall child standing a distance of 2.65 meters away
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Explanation:
Given A Christmas tree ornament with an 8.64-cm diameter serves as a convex mirror surface. Determine the image distance of a 4-foot tall child standing a distance of 2.65 meters away
- So we need to find the image distance of the child.
- Diameter = 8.64 cm
- f = - hi / ho
- = - 8.64 / 4
- f = - 2.16 cm
- Now 1/f = 1/do + 1/di (do and di are object and image distance)
- -1/2.16 = 1/265 + 1/di
- -100/216 – 1/265 = 1/di
- 1/di = - 0.4657
- di = - 2.147 cm
- So image distance will be 2.147 cm
- So ho = 4 ft = 121.92 cm (1 ft = 30.48 cm)
- Now hi = - ho x di / do
- = - 121.92 x – 2.147 / 265
- = 261.76224 / 265
- = 0.984 cm
Reference link will be
https://brainly.in/question/10436049
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