A concave mirror has a focal length of 41.6 cm. (a) What is its radius of curvat

Question

A concave mirror has a focal length of 41.6 cm. (a) What is its radius of curvature?
cm

(b) Locate the image when the object distance is 100 cm. (Indicate the side of the mirror with the sign of your answer.)
cm

Describe the properties of the image when the object distance is 100 cm. (Select all that apply.)

real virtual upright inverted

(c) Locate the image when the object distance is 10.0 cm. (Indicate the side of the mirror with the sign of your answer.)
cm

Describe the properties of the image when the object distance is 10.0 cm. (Select all that apply.)

real virtual upright inverted

Explanation / Answer

a )

R = 2 f

R = 2 X 46 = 92 cm

b )

the equation is 1 / f = 1 / p + 1 / q

1 / 46 = 1 / 100 + 1 / q

1 / q = 1 / 46 - 1 / 100

1 / q = 0.01173

q = 85.25 cm

the image is real and also inverted observed by the magnification M = - q / p

c )

1 / f = 1 / p + 1/ q

1 / 49 = 1 / 10 + 1/ q

1 / q = 1 /49 - 1 / 10

1 / q = - 0.0795

q = - 12.57 cm

the image is virtual and upright

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