An object is 19.9 cm from the surface of a reflective spherical Christmas tree ornament 4.94cm in diameter. What is the position of image?

2016-07-31 5:34 pm
What is the position?

What is the magnification of the image?

If you can please list the equations so that way I know for future questions. Thank you in advance.

回答 (1)

2016-07-31 5:47 pm
✔ 最佳答案
For a convex mirror, f is negative.
focal length, f = -radius / 2 = (-4.94 cm) / 4 = -1.235 cm

(1/u) + (1/v) = 1/f
(1/19.9) + (1/v) = 1/1.235
1/v = - (1/1.235) - (1/19.9)
v = -1.16 cm
The image is 1.16 cm behind the surface of the ornament.

Magnification of the image = |v/u| = 1.16/19.9 = 0.0583


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