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Showing 20 of 20 formulas Page 1 of 1

Snell's Law

Physics β†’ Optics β†’ Refraction of Light β†’ Refractive Index
$$n_1 sin heta_1 = n_2 sin heta_2$$
Describes the relationship between the angles of incidence and refraction for light passing through a boundary between two media.
πŸ“– Physics πŸ“š Refraction of Light

Lens Formula

Physics β†’ Optics β†’ Lenses β†’ Image Formation
$$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$$
Lens relation
πŸ“– Physics πŸ“š Lenses

Lens Maker's Formula

Physics β†’ Optics β†’ Ray Optics β†’ Lenses
$$\frac{1}{f} = (n - 1) \left( \frac{1}{R_1} - \frac{1}{R_2} \right)$$
Relates the focal length of a lens to the refractive index of its material and the radii of curvature of its surfaces.
πŸ“– Physics πŸ“š Ray Optics

Young's Double Slit (Fringe Width)

Physics β†’ Optics β†’ Wave Optics β†’ Interference
$$\beta = \frac{\lambda D}{d}$$
Calculates the distance between two consecutive bright or dark fringes in an interference pattern.
πŸ“– Physics πŸ“š Wave Optics

Malus's Law

Physics β†’ Optics β†’ Wave Optics β†’ Polarization
$$I = I_0 \cos^2 \theta$$
Determines the intensity of a beam of polarized light after passing through a polarizer.
πŸ“– Physics πŸ“š Wave Optics

Brewster's Law

Physics β†’ Optics β†’ Polarization β†’ Reflections
$$\tan \theta_p = \frac{n_2}{n_1}$$
An angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface.
πŸ“– Physics πŸ“š Polarization

Thin Lens Equation

Physics β†’ Optics β†’ Geometric Optics β†’ Lenses
$$\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i}$$
Relates focal length, object distance, and image distance for thin lenses.
πŸ“– Physics πŸ“š Geometric Optics

Magnification

Physics β†’ Optics β†’ Geometric Optics β†’ Magnification
$$M = -\frac{d_i}{d_o} = \frac{h_i}{h_o}$$
Ratio of image height to object height, negative indicates inversion.
πŸ“– Physics πŸ“š Geometric Optics

Diffraction Grating

Physics β†’ Optics β†’ Physical Optics β†’ Diffraction
$$d\sin\theta = m\lambda$$
Condition for constructive interference in diffraction grating.
πŸ“– Physics πŸ“š Physical Optics

Young's Double Slit Experiment (Fringe Width)

Physics β†’ Optics β†’ Wave Optics β†’ Interference
$$\beta = \frac{\lambda D}{d}$$
The distance between two consecutive bright or dark fringes on a screen.
πŸ“– Physics πŸ“š Wave Optics

Law of Malus (Polarization)

Physics β†’ Optics β†’ Wave Optics β†’ Polarization
$$I = I_0 \cos^2 \theta$$
Relates the intensity of a beam of polarized light transmitted through a second polarizer to the angle between the transmission axes.
πŸ“– Physics πŸ“š Wave Optics

Power of a Lens

Physics β†’ Optics β†’ Ray Optics β†’ Lenses
$$P = \frac{1}{f}$$
The measure of the degree of convergence or divergence of light rays by a lens.
πŸ“– Physics πŸ“š Ray Optics

Mirror Formula

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Spherical Mirrors
$$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$$
Relates object distance, image distance, and focal length of a spherical mirror.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Magnification (Mirror)

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Spherical Mirrors
$$m = \frac{h'}{h} = -\frac{v}{u}$$
The ratio of the height of the image to the height of the object.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Refractive Index (Speed of Light)

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Refraction
$$n = \frac{c}{v}$$
Ratio of the speed of light in vacuum to the speed of light in a specific medium.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Magnification (Lens)

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Spherical Lenses
$$m = \frac{h'}{h} = \frac{v}{u}$$
Linear magnification produced by a lens.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Snell's Law (Simplified)

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Refraction
$$n = \frac{\sin i}{\sin r}$$
The ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant for a given pair of media.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Radius of Curvature

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Spherical Mirrors
$$R = 2f$$
Radius of curvature is twice the focal length for spherical mirrors.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Refractive Index (Apparent Depth)

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Refraction
$$n = \frac{\text{Real Depth}}{\text{Apparent Depth}}$$
Why an object underwater appears shallower than it is.
πŸ“– Physics πŸ“š Light - Reflection and Refraction

Absolute Refractive Index

Physics β†’ Optics β†’ Light - Reflection and Refraction β†’ Refraction
$$n_2/n_1 = v_1/v_2$$
Relationship between refractive indices and speeds of light in two media.
πŸ“– Physics πŸ“š Light - Reflection and Refraction
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