PhysicsLAB Review
Mirror Properties

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  Plane Mirrors   Concave Mirrors Convex Mirrors
mirror shape flat mirror "caved in" "bowed out"
radius R R = 2f R = 2f
principal focus - - - F is "in front of the mirror" on the same side
as the incoming light
F is "behind the mirror" on the opposite side
as the incoming light
image
equation
di = - do 1/do + 1/di = 1/f
do is always positive
di is positive if real
di is negative if virtual
f is positive (convex)
1/do + 1/di = 1/f
do is always positive
diis always negative (virtual)
f is negative (concave)
magnification
equation
M = 1 M = | di / do | = | I / O | M = | di / do | = | I / O |
image
properties
virtual, upright, M = 1
sample ray diagram
image properties vary with object's position
sample ray diagrams

do di = f
real
M 0
do > 2f 2f < di < f
real
M < 1
do = 2f di = 2f
real
M = 1
2f < do < f di > 2f
real
M > 1
do = f no image
is formed
- - -
do < f 0 < di < -∞
virtual
M > 1
 
virtual, upright, M < 1
sample ray diagram

do di = -f
virtual
M 0
any do < ∞ 0 < di < -f
virtual
M < 1
rays Line up the top and bottom of the eye with the image, draw in a line - solid in the air, dotted behind the mirror, bounce it back to the object. Place arrows pointing away from the object, to the mirror, and then into the eye. #1 top of the object, parallel to the axis, strikes the mirror, reflects through F

#2 top of the object, passes through C, strikes the mirror, reflects back through C
#3 top of the object, passes through F, strikes the mirror, reflects parallel to the axis
#1  top of the object, parallel to the axis, strikes the mirror, lines up with F, reflects back (dot back reflection to F)
#2 top of the object, aims for C, strikes the mirror, reflects back (dot back reflection to C)
#3 top of the object, aims for F, strikes the mirror, reflects parallel to the axis (dot back parallel reflection)



 
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