Modern Physics formulas

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

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Formulas: 38
Subject: Physics
Exam: JEE Advanced
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Modern Physics, every formula

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

Photon energy
$E = h ν = \frac{h c}{λ}$
Photon energy (eV)
$E = \frac{1240}{λ ( nm )} eV$
Photon momentum
$p = \frac{h}{λ} = \frac{E}{c}$
Photoelectric equation
$h ν = ϕ + K_{m a x}$
Work function
$ϕ = h ν_{0} = \frac{h c}{λ _{0}}$
Max KE (stopping potential)
$K_{m a x} = e V_{s}$
Threshold wavelength
$λ_{0} = \frac{h c}{ϕ}$
Quantum efficiency
$η = \frac{n _{e}}{n _{p h}}$
De Broglie wavelength
$λ = \frac{h}{p} = \frac{h}{m v}$
De Broglie (accelerated charge)
$λ = \frac{h}{2 m q V}$
De Broglie (electron)
$λ = \frac{12.27}{V} \overset{˚}{A}$
V in volts
Radiation pressure
$P = (1 + r) \frac{I}{c}$
Intensity of light
$I = \frac{P}{A} = \frac{nh ν}{A}$
Bohr radius
$r_{n} = 0.529 \frac{n ^{2}}{Z} \overset{˚}{A}$
Bohr velocity
$v_{n} = 2.18 \times 1 0^{6} \frac{Z}{n} m/s$
Bohr energy
$E_{n} = - 13.6 \frac{Z ^{2}}{n ^{2}} eV$
Angular momentum (Bohr)
$m v r = \frac{nh}{2 π}$
KE and PE (Bohr)
$K = ∣ E_{n} ∣, U = 2 E_{n}$
Rydberg formula
$\frac{1}{λ} = R Z^{2} (\frac{1}{n _{1}^{2}} - \frac{1}{n _{2}^{2}})$
Ionization energy
$E_{i o n} = 13.6 Z^{2} eV$
Number of spectral lines
$N = \frac{n ( n - 1 )}{2}$
Continuous X-ray cutoff
$λ_{m i n} = \frac{12400}{V ( volts )} \overset{˚}{A}$
Moseley's law
$ν = a (Z - b)$
Bragg's law
$2 d sin θ = nλ$
X-ray absorption
$I = I_{0} e^{- μx}$
Nuclear radius
$R = R_{0} A^{1/3}, R_{0} = 1.2 fm$
Mass defect
$Δ m = [Z m_{p} + (A - Z) m_{n}] - M$
Binding energy
$B E = Δ m \times 931.5 MeV$
Binding energy per nucleon
$\frac{B E}{A}$
Radioactive decay law
$N = N_{0} e^{- λ t}$
Half-life
$T_{1/2} = \frac{0.693}{λ}$
Mean (average) life
$τ = \frac{1}{λ} = 1.44 T_{1/2}$
Nuclei after n half-lives
$N = \frac{N _{0}}{2 ^{n}}, n = \frac{t}{T _{1/2}}$
Activity
$A = λ N = A_{0} e^{- λ t}$
Alpha decay
$_{Z}^{A} X \to_{Z - 2}^{A - 4} Y +_{2}^{4} He$
Beta-minus decay
$_{Z}^{A} X \to_{Z + 1}^{A} Y + β^{-} + \overset{ν}{ˉ}$
Effective half-life
$\frac{1}{T} = \frac{1}{T _{1}} + \frac{1}{T _{2}}$
Mass–energy (1 amu)
$1 amu = 931.5 MeV / c^{2}$

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Modern Physics formulas

Modern Physics, every formula

Photon energy

Photon energy (eV)

Photon momentum

Photoelectric equation

Work function

Max KE (stopping potential)

Threshold wavelength

Quantum efficiency

De Broglie wavelength

De Broglie (accelerated charge)

De Broglie (electron)

Radiation pressure

Intensity of light

Bohr radius

Bohr velocity

Bohr energy

Angular momentum (Bohr)

KE and PE (Bohr)

Rydberg formula

Ionization energy

Number of spectral lines

Continuous X-ray cutoff

Moseley's law

Bragg's law

X-ray absorption

Nuclear radius

Mass defect

Binding energy

Binding energy per nucleon

Radioactive decay law

Half-life

Mean (average) life

Nuclei after n half-lives

Activity

Alpha decay

Beta-minus decay

Effective half-life

Mass–energy (1 amu)

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