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Atomic Structure & Nuclear Chemistry formulas

Master Atomic Structure & Nuclear Chemistry through 22 JEE Advanced-level formulas, systematically structured with every variable spelled out. Revise concept-wise, identify the areas where you need improvement, and focus your preparation with greater precision.

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Atomic Structure & Nuclear Chemistry, every formula

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

Bohr radius
$r_{n} = 0.529 \frac{n ^{2}}{Z} \overset{˚}{A}$
Energy of nth orbit
$E_{n} = - 13.6 \frac{Z ^{2}}{n ^{2}} eV$
Velocity in nth orbit
$v_{n} = 2.18 \times 1 0^{6} \frac{Z}{n} m/s$
Q1MCQVelocity
The velocity in the $n$th Bohr orbit varies as:
- A
  $\dfrac{Z}{n}$
- B
  $\dfrac{n}{Z}$
- C
  $\dfrac{Z}{n^{2}}$
- D
  $nZ$
Rydberg equation
$\frac{1}{λ} = R_{H} Z^{2} (\frac{1}{n _{1}^{2}} - \frac{1}{n _{2}^{2}})$
Q1MCQRydberg
The Rydberg equation for the hydrogen spectrum is:
- A
  $\dfrac{1}{\lambda}=R_H Z^{2}\left(\dfrac{1}{n_1^{2}}-\dfrac{1}{n_2^{2}}\right)$
- B
  $\lambda=R_H(n_1-n_2)$
- C
  $\dfrac{1}{\lambda}=R_H(n_1-n_2)$
- D
  $\lambda=R_H Z^{2}$
Rydberg constant
$R_{H} = 1.097 \times 1 0^{7} m^{- 1}$
Q1MCQRydberg constant
The Rydberg constant is approximately:
- A
  $1.097\times10^{7}\ \text{m}^{-1}$
- B
  $6.022\times10^{23}$
- C
  $9.1\times10^{-31}$
- D
  $1.6\times10^{-19}$
de Broglie wavelength
$λ = \frac{h}{m v} = \frac{h}{p}$
Q1MCQde Broglie
The de Broglie wavelength is:
- A
  $\dfrac{h}{mv}$
- B
  $\dfrac{mv}{h}$
- C
  $hmv$
- D
  $\dfrac{h}{m}$
Heisenberg uncertainty principle
$Δ x \cdot Δ p \geq \frac{h}{4 π}$
Q1MCQUncertainty
Heisenberg's uncertainty principle states:
- A
  $\Delta x\cdot\Delta p\ge\dfrac{h}{4\pi}$
- B
  $\Delta x\cdot\Delta p=0$
- C
  $\Delta x=\Delta p$
- D
  $\Delta x\cdot\Delta p\le\dfrac{h}{4\pi}$
Photon energy
$E = h ν = \frac{h c}{λ}$
Q1MCQPhoton energy
The energy of a photon is:
- A
  $\dfrac{hc}{\lambda}$
- B
  $\dfrac{h\lambda}{c}$
- C
  $hc\lambda$
- D
  $\dfrac{\lambda}{hc}$
Angular momentum (Bohr)
$m v r = \frac{nh}{2 π}$
Q1MCQAngular momentum
The angular momentum of an electron in the $n$th orbit is:
- A
  $\dfrac{nh}{2\pi}$
- B
  $nh$
- C
  $\dfrac{h}{2\pi}$
- D
  $\dfrac{n}{2\pi}$
Number of subshells
$in shell n : n subshells$
Orbitals in a subshell
$(2 l + 1)$
Electrons in a shell
$2 n^{2}$
Electrons in a subshell
$2 (2 l + 1)$
Number of radial nodes
$n - l - 1$
Number of angular nodes
$l$
Total nodes
$n - 1$
Spin magnetic moment
$μ = n (n + 2) BM$
n = unpaired electrons
Ionization energy (H-like)
$I E = 13.6 Z^{2} eV$
Number of spectral lines
$N = \frac{n ( n - 1 )}{2}$
Threshold / work function
$ϕ = h ν_{0}$
Q1MCQWork function
The threshold energy (work function) is:
- A
  $h\nu_0$
- B
  $\dfrac{h}{\nu_0}$
- C
  $\nu_0$
- D
  $\dfrac{hc}{\nu_0}$
Photoelectric equation
$h ν = ϕ + \frac{1}{2} m v^{2}$
Q1MCQPhotoelectric
The photoelectric equation is:
- A
  $h\nu=\phi+\tfrac12 mv^{2}$
- B
  $h\nu=\phi-\tfrac12 mv^{2}$
- C
  $h\nu=\tfrac12 mv^{2}$
- D
  $\phi=h\nu$
Wave number
$\overset{ν}{ˉ} = \frac{1}{λ}$
Q1MCQWave number
The wave number is:
- A
  $\dfrac{1}{\lambda}$
- B
  $\lambda$
- C
  $\dfrac{\lambda}{c}$
- D
  $c\lambda$

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Atomic Structure & Nuclear Chemistry formulas

Atomic Structure & Nuclear Chemistry, every formula

Bohr radius

Energy of nth orbit

Velocity in nth orbit

Rydberg equation

Rydberg constant

de Broglie wavelength

Heisenberg uncertainty principle

Photon energy

Angular momentum (Bohr)

Number of subshells

Orbitals in a subshell

Electrons in a shell

Electrons in a subshell

Number of radial nodes

Number of angular nodes

Total nodes

Spin magnetic moment

Ionization energy (H-like)

Number of spectral lines

Threshold / work function

Photoelectric equation

Wave number

More JEE Advanced Chemistry formula sheets

Other ways to revise this chapter

Preparing students for India’s top institutes

Join QuestPix, Today!