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You are standing 4.0 m from a convex security mirror in a store. You estimate the height of your image to be half of your actual height. Estimate the radius of curvature of the mirror.

Respuesta :

Answer:

8 m

Explanation:

u = - 4 m

height of image = half of height of object

m = height of image / height of object = 1/2

m = - v / u = 1/2

v = - u / 2 = - (-4) / 2 = 2 m

Use the mirror formula

1 / u + 1 / v = 1 / f

1 / (-4) + 1 / 2 = 1 / f

1 / f = 1 /2  - 1 / 4 = 1 / 4

f = 4 m

radius of curvature = 2 x focal length

radius of curvature = 2 x 4 = 8 m  

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