A concave mirror has a focal length of 54.2 cm. (a) What is its radius of curvat

Question

A concave mirror has a focal length of 54.2 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

Part A)

The radius of curvature is twice the focal length

R = 2f = 2(54.2)

R = 108.4 cm

Part B)

Apply 1/f = 1/p + 1/q

1/54.2 = 1/100 + 1/q

q = 118.3 cm

And since the value is positive, the image is real and inverted

Part C)

1/54.2 = 1/10 + 1/q

q = -12.6 cm

Since the value is negative, the image is virtual and upright.

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