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Ray Optics and Optical Instruments

Focal Length of a Spherical Mirror
Relates the focal length and radius of curvature of a paraxial spherical mirror.
Mirror Formula
Relates object distance, image distance, and focal length for spherical mirrors.
Magnification of Spherical Mirror
Gives the transverse linear magnification of an image formed by a spherical mirror.
Snell's Law of Refraction
Relates angles of incidence and refraction across a plane interface between two media.
Absolute and Relative Refractive Index
Defines refractive index in terms of light speed in vacuum and the medium.
Wavelength in a Medium
Gives the wavelength of light inside an optical medium of refractive index n.
Critical Angle for Total Internal Reflection
Gives the threshold angle of incidence for total internal reflection into air or vacuum.
Apparent Depth
Gives the apparent depth of an object submerged in a denser medium viewed near normal incidence.
Normal Shift Through a Slab
Gives the normal displacement of an object viewed through a transparent slab of thickness t.
Refraction at a Spherical Surface
Relates object and image positions for refraction at a single spherical interface.
Lens Maker's Formula
Calculates the focal length of a thin lens from its refractive index and surface radii.
Thin Lens Formula
Relates object distance, image distance, and focal length for a thin lens.
Magnification of a Lens
Gives the transverse linear magnification produced by a thin lens.
Power of a Lens
Defines the power of a lens in dioptres when its focal length is measured in metres.
Thin Lenses in Contact
Gives the equivalent focal length and power of two coaxial thin lenses placed in contact.
Displacement Method for Focal Length
Gives the focal length of a convex lens from two image-forming positions spaced d apart.
Angle Relations and Deviation in a Prism
Relates the angle of the prism, internal refraction angles, and total angle of deviation.
Prism Formula
Calculates the refractive index of a prism material at the angle of minimum deviation.
Deviation by a Thin Prism
Gives the deviation produced by a prism having a small refracting angle A.
Magnifying Power of Simple Microscope
Gives the angular magnification of a simple magnifier at the near point and at infinity.
Magnifying Power of Compound Microscope
Gives the total magnifying power of a compound microscope.
Magnifying Power of Astronomical Telescope
Gives the angular magnification of an astronomical refracting telescope.
Tube Length of Astronomical Telescope
Gives the distance between objective and eyepiece of a telescope in normal adjustment.