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Object place further than twice the focal length (converging lens)
Real image is inverted and smaller than the object
Object is placed between first focal length and second focal length (converging lens)
Real image is inverted and larger than the object
Object is placed between focal length 1 and the lens (converging lens)
Virtual image is upright and larger than the object
Diverging Lens
always forms an upright, virtual, smaller image on the same side as the object
positive focal length
converging lens
negative focal length
diverging lens
Distance of object is positive
object is in front of lens
Distance of object is negative
object is behind the lens
Distance of image is positive
if an image is formed on the opposite side of the lens as the object (real image)
Distance of image is negative
image is formed on the same side of the lens as the object (virtual image)
m is positive
upright image
m is negative
inverted image
When ray of light goes from a medium with a lower index of refraction to one with a higher index of refraction:
The refracted ray bends toward the normal
When ray of light goes from a medium with a higher index of refraction to a lower index of refraction:
The refracted ray bends away from the normal
Greater the change in index of refraction
greater the change in direction of the ray
When light travels through a material with a smaller refractive index towards a material with a larger refractive index
reflection at the boundary occurs along with a phase change
When light travels from a larger towards a smaller refractive index
no phase change occurs
If neither or both of the reflected wavers have a half-cycle phase shift
constructive reflection: 2t=ml
destructive reflection: 2t= (m+1/2)l
If only one of the reflected waves has a half-cycle phase shift
constructive reflection: 2t=(m+1/2)l
destructive reflection: 2t=ml
Diffraction
After passing through an opening, waves travel in directions other than the direction of the original wave. The bending of a wave as it goes through a narrow opening.
Decrease width of opening
Increase extent of diffraction
Nearsighted
Light rays converge too early, eye too long
Farsightedness
Light rays converge too late, behind the retina, is too long