Geometrical Optics formulas

Every formula JEE Advanced expects you to know for Geometrical Optics, with the variables spelled out. Free, no sign-up. Read it before a mock, not during one.

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Formulas: 34
Subject: Physics
Exam: JEE Advanced
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Geometrical Optics, every formula

34 formulas, typeset and free. Print it, or keep it open beside your practice.

Law of reflection
$∠ i = ∠ r$
Mirror formula
$\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$
Mirror focal length
$f = \frac{R}{2}$
Transverse magnification (mirror)
$m = \frac{h _{2}}{h _{1}} = - \frac{v}{u}$
Longitudinal magnification
$m_{L} = - \frac{v ^{2}}{u ^{2}} = - m^{2}$
small object
Mirror power
$P = - \frac{1}{f}$
Newton's formula
$X Y = f^{2}$
distances from focus
Refractive index
$μ = \frac{c}{v}$
Snell's law
$μ_{1} sin i = μ_{2} sin r$
Deviation on refraction
$δ = i - r$
Lateral shift in a slab
$x = \frac{t sin ( i - r )}{cos r}$
Apparent depth
$d^{'} = \frac{d}{μ}$
Apparent shift
$shift = d (1 - \frac{1}{μ})$
Critical angle
$C = sin^{- 1} \frac{1}{μ}$
TIR condition
$i > C (denser to rarer)$
Prism deviation
$δ = i + e - A$
Prism refraction angles
$r_{1} + r_{2} = A$
Minimum deviation
$δ_{m i n} = 2 i - A$
i=e, r_1=r_2
Prism refractive index
$μ = \frac{sin ( \frac{A + δ _{m i n}}{2} )}{sin ( \frac{A}{2} )}$
Thin prism deviation
$δ = (μ - 1) A$
Angular dispersion
$θ = (μ_{v} - μ_{r}) A$
Dispersive power
$ω = \frac{μ _{v} - μ _{r}}{μ _{y} - 1}$
Refraction at a spherical surface
$\frac{μ _{2}}{v} - \frac{μ _{1}}{u} = \frac{μ _{2} - μ _{1}}{R}$
Lens formula
$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$
Lens magnification
$m = \frac{v}{u}$
Lens maker's formula
$\frac{1}{f} = (μ - 1) (\frac{1}{R _{1}} - \frac{1}{R _{2}})$
Power of a lens
$P = \frac{1}{f ( m )} = \frac{100}{f ( cm )}$
Lenses in contact
$P = P_{1} + P_{2}$
Lenses separated by d
$\frac{1}{F} = \frac{1}{f _{1}} + \frac{1}{f _{2}} - \frac{d}{f _{1} f _{2}}$
Silvered lens (plane silvered)
$f = \frac{R}{2 ( μ - 1 )}$
Simple microscope (near point)
$M P = 1 + \frac{D}{f}$
Compound microscope
$M P = \frac{v _{0}}{u _{0}} (1 + \frac{D}{f _{e}})$
Astronomical telescope
$M P = \frac{f _{0}}{f _{e}}, L = f_{0} + f_{e}$
Resolving power (telescope)
$R = \frac{a}{1.22 λ}$

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Geometrical Optics formulas

Geometrical Optics, every formula

Law of reflection

Mirror formula

Mirror focal length

Transverse magnification (mirror)

Longitudinal magnification

Mirror power

Newton's formula

Refractive index

Snell's law

Deviation on refraction

Lateral shift in a slab

Apparent depth

Apparent shift

Critical angle

TIR condition

Prism deviation

Prism refraction angles

Minimum deviation

Prism refractive index

Thin prism deviation

Angular dispersion

Dispersive power

Refraction at a spherical surface

Lens formula

Lens magnification

Lens maker's formula

Power of a lens

Lenses in contact

Lenses separated by d

Silvered lens (plane silvered)

Simple microscope (near point)

Compound microscope

Astronomical telescope

Resolving power (telescope)

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