Lens Formula: The lens formula expresses the relationship between the object distance (d_o), image distance (d_i), and focal length (f) of a lens. The formu...
Lens Formula:
The lens formula expresses the relationship between the object distance (d_o), image distance (d_i), and focal length (f) of a lens. The formula is:
d_i = 1/f - 1/d_o
where:
d_o is the object distance (in meters)
d_i is the image distance (in meters)
f is the focal length (in meters)
Magnification:
Magnification is a measure of how an image is stretched or compressed relative to the object. It is determined by dividing the image distance (d_i) by the object distance (d_o). The magnification is always positive for real images and negative for virtual images.
Examples:
A positive lens with a focal length of 5 cm will make an image 10 cm high when the object is 10 cm away.
A negative lens with a focal length of 10 cm will make an image 20 cm high when the object is 20 cm away.
A lens with a focal length of 20 cm will be a convex lens.
The lens formula and magnification are essential concepts in optics that are used in many applications, such as:
Eyeglasses and contact lenses to correct vision problems
Cameras and telescopes to produce clear and sharp images
Microscopes to magnify objects for detailed observation