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how do we find the image of a curved mirror
the image forms where the reflected rays meet, and only two are needed to find the image
principal axis
the normal line through the center of the mirror
focal point
the point on the principal axis where all rays parallel to the principal axis reflect to
Center of curvature
the point on the principal axis where all normal lines meet. It is a 2x farther away than the focal point
Ray 1 of curved mirror
begins parallel to the principal axis and reflects through the focal point
Ray 2 of curved mirror
begins going through the focal point and reflects prallel to the principal axis
Ray 3 of curved mirror
goes through the center of curvature and reflects through the center of curvature
how do we describe a mirror image
one end of the object is always be on the principal axis, so the image will have one end of it as well. All incident rays start at the other end of the object ,so the reflected rays will meet at the other end of the image
what are the different types of lenses
converging : concave mirror and convex lens. Diverging: convex mirror and concave lens
what does (f) and (f’) stand for
primary focal point (f) and secondary focal point (f’)
Ray 1 convex lens
starts parallel to the axis, refracts through f
Ray 2 convex lens
starts through f’, refracts parallel
ray 3 convex lens
through center of lens
what is different from convex to concave lens in ray rules
f and f’ switch sides
Ray 1 concave lens
starts parallel to the axis, refracts from f
Ray 2 concave lens
starts toward f’, refracts parallel
Ray 3 concave lens
through center of lens
lens (mirror) equation
1/do + 1/di = 1/f where do = object distance, di = image distance where distance is from lens
magnification equation
m = -di/do = hi/ho where h = size (or height), m = magnification (no units)
the cornea is a…
fixed converging lens
Iris
aperture that automatically responds to light levels
Lens
flexible converging lens responsible for fine-tuning (accomodation)
how does the eye produce an image
image forms on the retina while the cornea, iris, and lens aid in forming the image
Farsighted
one can see objects far away but not near
causes of farsightedness
cornea is too flat, eyeball is too flat, image forms behind the retina
fix for farsightedness
use a converging lens to help focus light sooner
nearsighted
one can see near objects but not objects far away
causes of nearsightedness
cornea too rounded, eyeball too long, image forms in front of retina
fix for nearsightedness
diverging lens to focus light later
astigmatism
the cornea doesn’t focus light equally in all directions
astigmatism fix
cylindrical lenses