Answer:
a) d = p1+h
b) magnification = 1
Step-by-step explanation:
Periscopes are made with flat mirrors. A flat mirror a number of properties, including:
the image produced is upright
the image is the same size as the object (i.e., the magnification is m = 1)
the image is the same distance from the mirror as the object appears to be (i.e., the image distance = the object distance)
the image is a virtual image, as opposed to a real image, because the light rays do not actually pass through the image. This also implies that an image could not be focused on a screen placed at the location where the image is.
a) 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) 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.