Question

A concave mirror has a focal length of 36.7 cm.

(A) What is its radius of curvature?

(B) 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

(C) 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

Answer 1

a)

r = 2f = 2 (36.7) = 73.4 cm

B)

d_o = object distance = 100 cm

d_i = image distance

f = 36.7 cm

Using mirror equation

1/f = 1/d_o + 1/d_i

1/36.7 = 1/100 + 1/d_i

d_i = 58 cm

Real

Inverted

C)

d_o = object distance = 10 cm

d_i = image distance

f = 36.7 cm

Using mirror equation

1/f = 1/d_o + 1/d_i

1/36.7 = 1/10 + 1/d_i

d_i = - 13.75 cm

Virtual

Upright