Two plane mirrors stand facing each other, 3.14 m apart, and a woman stands betw

Question

Two plane mirrors stand facing each other, 3.14 m apart, and a woman stands between them. The woman faces one of the mirrors from a distance of 1.20 m and holds her left arm out to the side of her body with the palm of her hand facing the closer mirror.

(a) What is the apparent position of the closest image of her left hand, measured perpendicularly from the surface of the mirror in front of her?
____________m behind the nearest mirror

(b) Does it show the palm of her hand or the back of her hand?

(c) What is the position of the next closest image?
_____________ m behind the nearest mirror

(d) Does it show the palm of her hand or the back of her hand?   

(e) What is the position of the third closest image?
_________ m behind the nearest mirror

(f) Does it show the palm of her hand or the back of her hand?

(g) Which of the images are real and which are virtual? (Select all that apply.)

the closest image is rea

lthe second closest image is real

the third closest image is real

the closest image is virtual

the second closest image is virtual

the third closest image is virtual

Explanation / Answer

dtot = 3.14 m, d1 = 1.20 m, d2 = 1.94 m

a) d1 = 1.20

b) back

c) position of the next closest image = d1 + 2(d2) = 5.08 m

d) palm

e) position of the third closest image = 2(d1 + d2) = 6.28 m

f) back

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