Wave Optics formulas

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

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Formulas: 30
Subject: Physics
Exam: JEE Advanced
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Wave Optics, every formula

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

Resultant intensity
$I = I_{1} + I_{2} + 2 I_{1} I_{2} cos ϕ$
Maximum intensity
$I_{m a x} = (I_{1} + I_{2})^{2}$
Minimum intensity
$I_{m i n} = (I_{1} - I_{2})^{2}$
Intensity for equal sources
$I = 4 I_{0} cos^{2} (\frac{ϕ}{2})$
Incoherent sources
$I = I_{1} + I_{2}$
Amplitude ratio
$\frac{a _{1}}{a _{2}} = \frac{I _{1}}{I _{2}}$
YDSE path difference
$Δ p = d sin θ = \frac{d y}{D}$
Bright fringe position
$y_{n} = \frac{nλ D}{d}$
Dark fringe position
$y_{n} = \frac{( 2 n - 1 ) λ D}{2 d}$
Fringe width
$β = \frac{λ D}{d}$
Phase difference
$Δ ϕ = \frac{2 π}{λ} Δ p$
Highest-order maxima
$n_{m a x} = ⌊ \frac{d}{λ} ⌋$
Fringe shift due to a slab
$Δ x = \frac{D}{d} (μ - 1) t$
Thin film (reflected) maxima
$2 μ t cos r = (2 n - 1) \frac{λ}{2}$
Thin film (reflected) minima
$2 μ t cos r = nλ$
Thin film (transmitted) maxima
$2 μ t cos r = nλ$
Single-slit minima
$a sin θ = nλ$
Single-slit secondary maxima
$a sin θ = (2 n + 1) \frac{λ}{2}$
Angular width of central maximum
$W_{θ} = \frac{2 λ}{a}$
Linear width of central maximum
$W = \frac{2 D λ}{a}$
Single-slit intensity
$I = I_{0} (\frac{sin ( β /2 )}{β /2})^{2}$
Malus's law
$I = I_{0} cos^{2} θ$
Brewster's law
$μ = tan i_{p}$
Brewster angle relation
$i_{p} + r_{p} = 9 0^{\circ}$
Optical activity
$[α] = \frac{θ}{L C}$
Resolving power (grating)
$R = \frac{λ}{Δ λ}$
Optical path difference
$Δ_{o pt} = μ Δ p$
Two-wavelength coincidence
$n_{1} β_{1} = n_{2} β_{2}$
EM wave amplitude relation
$E_{0} = B_{0} c$
Speed of EM waves in a medium
$v = \frac{1}{μ ε}$

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Wave Optics formulas

Wave Optics, every formula

Resultant intensity

Maximum intensity

Minimum intensity

Intensity for equal sources

Incoherent sources

Amplitude ratio

YDSE path difference

Bright fringe position

Dark fringe position

Fringe width

Phase difference

Highest-order maxima

Fringe shift due to a slab

Thin film (reflected) maxima

Thin film (reflected) minima

Thin film (transmitted) maxima

Single-slit minima

Single-slit secondary maxima

Angular width of central maximum

Linear width of central maximum

Single-slit intensity

Malus's law

Brewster's law

Brewster angle relation

Optical activity

Resolving power (grating)

Optical path difference

Two-wavelength coincidence

EM wave amplitude relation

Speed of EM waves in a medium

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