Mirror and Lens Formula, Magnification and Power A mirror and a lens are both optical devices that can change the direction of light. The mirror fo...
A mirror and a lens are both optical devices that can change the direction of light. The mirror formula relates the image distance (d_i), object distance (d_o), and focal length (f) of an image formed by a mirror. The lens formula relates the object distance, image distance, and focal length of an image formed by a lens.
Mirror Formula:
d_i/d_o = 1/f
where:
d_i is the distance from the mirror to the image
d_o is the distance from the mirror to the object
f is the focal length of the mirror
Lens Formula:
1/d_o = 1/f - 1/d_i
where:
d_o is the distance from the lens to the object
d_i is the distance from the lens to the image
Magnification:
Power:
Examples:
Mirror: When an object is placed at a distance greater than the focal length of a mirror, the image will be formed on the opposite side of the mirror. The image will be virtual and inverted.
Lens: When an object is placed at a distance greater than the focal length of a lens, the image will be formed on the same side of the lens as the object. The image will be real and inverted.
Magnification: When an object is placed at a distance equal to the focal length of a mirror, the image will be formed on the same side of the mirror as the object. The magnification will be equal to 1, meaning the image size is equal to the object size.
Power: A lens with a shorter focal length has more power than a lens with a longer focal length. This means that a lens with a shorter focal length can magnify an object more effectively