Part 1 While looking at her image in a cosmetic mirror, Dina notes that her face

Question

Part 1
While looking at her image in a cosmetic mirror, Dina notes that her face is highly magnified when she is close to the mirror, but as she backs away from the mirror, her image first becomes blurry, then disappears when she is about 28.0 cm from the mirror, and then inverts when she is beyond 28.0 cm. Based on these observations, answer the following questions about the mirror. The mirror is concave

(a) What is the focal length of the mirror?
f ˜ ____cm

(b) What is the radius of curvature of the mirror?
R ˜_____cm

Part 2.
A concave makeup mirror is designed so that a person 26 cm in front of it sees an upright image magnified by a factor of two. What is the radius of curvature of the mirror?
R = _____m

Explanation / Answer

a)f = 28 cm radius = 28 * 2 = 56 cm b) m = -di/do = 2 di = - 2do do = 26 cm di = -2 * 26 = -52 cm 1/f = 1/di + 1/do = 1/26 + 1/-52 f = 52 cm R = 2*f = 52 *2 = 104 cm = 1.04 m

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