Question

0.6/1 Points] DETAILS PREVIOUS ANSWERS SERCP11 23.1.P.005. MY NOTES AS A periscope (see figure below) is useful for viewing objects that cannot be seen directly. It can be used in submarines and when watching golf matches or parades from behind a crowd of pec object is a distance p, from the upper mirror and the centers of the two flat mirrors are separated by a distance h. (a) What is the distance of the final image from the lower mirror (Use any variable or symbol stated above as necessary.) behind the lower mirror (b) Is the final image real or virtual O real • virtual (c) Is it upright or inverted? O inverted upright (d) What is its magnification?

Answer 1

(a) d = p₁ + h behind the lower mirror.

The upper Mirror M₁ produces a virtual actual sized image l₁ with q₁= -p₁ and M₁ = -q₁/p₁ =1.

The object for mirror M₂, at object distance p₂ = p₁ + h

The lower Mirror M₁ produces a virtual actual sized image, right side up, l₁ with q₂= -p₂ = p₁ + h and M₂ = -q₂/p₂ =1 and also M₁M₂ = 1.

Therefore the distance of the final image from the lower mirror is

d = p₁ + h behind the lower mirror.

(b) m=1

Since periscopes are made with flat mirrors and one of characteristics is that the image is the same size as the object, which means that the magnification is 1.