A concave mirror has a focal length of 54.3 cm. What is its radius of curvature?

Question

A concave mirror has a focal length of 54.3 cm. What is its radius of curvature? Locate the image when the object distance is 100 cm. (Indicate the side of the mirror with the sign of your answer.) Describe the properties of the image when the object distance is 100 cm. (Select all that apply.) real virtual upright inverted Locate the image when the object distance is 10.0 cm. (Indicate the side of the mirror with the sign of your answer. Describe the properties of the image when the object distance is 10.0 cm. (Select all that apply.) real virtual upright inverted

Explanation / Answer

given data

focal length f=54.3cm

a) radius of curvature R=?

f =R/2

R=2*54.3 = 108.6 cm

b) object distance o =100cm

image distance i= ?

we know the focal length formula

1/f = 1/i + 1/o

1/54.3 = 1/i + 1/100

i = 118.8cm

c)concave mirror image always inverted and magnified.

d) object distance o =10cm

image distance i= ?

we know the focal length formula

1/f = 1/i + 1/o

1/54.3 = 1/i + 1/10

i = - 12.25cm

e)concave mirror image always inverted and magnified.

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