Answer to Question #80476 in Optics for Danny

Question

The bowl has a diameter of 30 cm. The distance from the bowl to the object is 75 cm, and the object size is 6 cm.

(a) what is the focal length of the mirrored surface of the bowl?
(b) what is the position of the image

(c) what is the size of the image

Answer 1

a)
f=R/2=d/4=30/4=7.5 cm.
b)
1/d_o +1/d_i =1/f
1/75+1/d_i =1/7.5
d_i=8.3 cm.
c)
h_i=h_0 d_i/d_0 =6 8.3/75=0.67 cm.