You are standing 1.34 m in front of a large shiny sphere that is 0.879 m in diam

Question

You are standing 1.34 m in front of a large shiny sphere that is 0.879 m in diameter.

(a) How far from the surface of the sphere closest to you does your image appear to be? Use a negative number if your image is behind the surface of the sphere and a positive number if your image is in front of the surface of the sphere. Answer in m

(b) If you are 1.42 m tall, how tall is your image? Answer in m

(c) Is the image inverted or in the orientation with respect to you? Choose one

-not enough information to tell

-inverted

-same orientation

Explanation / Answer

a)
do = 1.34 m
f = -d/4 = 0.879/4 = -0.21975 m
use:
1/f = 1/di + 1/do
-1/0.21975= 1/di + 1/1.34
di = -0.263 m
Answer:- 0.263 m

b)
use:
magnification = hi/ho = -di/do
hi/ho = -di/do
hi/1.42 = 0.263/1.34
hi = 0.279 m
Answer: 0.279 m

c)
positive sign in hi shows that image is erect
Answer: same orientation

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