1. A concave spherical mirror forms an image at 10 cm, when an object is placed

Question

1.A concave spherical mirror forms an image at 10 cm, when an object is placed 40 cm in front of the mirror. What is the radius of curvature of the mirror?   The mirror produces an image that is....?

2. A child holds a candy bar 10 cm in front of a convex mirror and sees an upright image one-half the size of the real object. What is the focal length of the mirror?

3.A penny is at the bottom of a pool, 2 m below the water's surface. When viewed from above, what is the apparent depth of the penny?

Explanation / Answer

1. focal length f = R/2

som Radius R = 2f

apply 1/f = 1/u +1/v

f = uv/u+v

f = 10 *40/50

f = 8 cm

so a. radius R = 2f = 2*8 = 16 cm

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b. magnification m = -v/u = -1/2

so u = 2v

v = 10/2 = 5cm

apply -1/f = 1/u + 1/v for convex lens

so f = -uv/u+v

f = - 2v * v/(3v)

f = 2v/3

f = 2* 5/3

f = 3.33cm

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c. apparent depth = 2/1.33 = 1.503 m

f = 2*

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