UPSC Combined Geo-Scientist, Mains · 2022 · Mains Paper II
Q1(h). Brownian movement and Tyndall effect: why only colloids
Question
Why are Brownian movement and Tyndall effect shown by colloidal solutions only?
Answer in brief
Both need the colloidal size, 1–1000 nm: particles small enough to be jostled visibly yet large enough to be seen and scatter light strongly; molecules are too small, suspensions too large.
Key points
- Size ranges: true solution < 1 nm; colloid 1–1000 nm; suspension > 1 µm.
- Brownian movement: zig-zag motion caused by unequal bombardment by solvent molecules; a colloidal particle is small enough for the impacts not to cancel and large enough to be seen (ultramicroscope).
- Einstein: ⟨x²⟩ = 2Dt, D = kBT/6πηr; r = 50 nm gives an r.m.s. shift of 3.1 µm in 1 s (visible), r = 5 µm only 0.31 µm.
- Tyndall effect: light scattered by particles of different refractive index; Rayleigh I ∝ d⁶/λ⁴, so a 10 nm particle scatters 6.4 × 10⁷ times more than a 0.5 nm molecule.
- Molecules also move and scatter (blue sky), but far too weakly to be seen in a beaker; suspensions are opaque and settle.
The full model answer
As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

CoversBrownian movementTyndall effectcolloidsRayleigh scatteringultramicroscope
All parts of Question 1
- 1(a) Postulates of kinetic theory and the two that fail5 marks
- 1(b) Boyle temperature of oxygen as a van der Waals gas5 marks
- 1(c) Temperature coefficient of conductivity: metal and semiconductor5 marks
- 1(d) Why KCl diffracts like a simple cubic lattice5 marks
- 1(e) Reversal of HCl + NH₃ ⇌ NH₄Cl with temperature5 marks
- 1(f) ΔG for compressing a real gas, from fugacities5 marks
- 1(g) Half-life of a second-order reaction5 marks
- 1(h) Brownian movement and Tyndall effect: why only colloids5 marks
- 1(i) Nernst equation for the redox electrode Pt | Cr⁶⁺, Cr³⁺5 marks
- 1(j) Same electrode positive or negative5 marks
- 1(k) Energy uncertainty of an excited state5 marks
- 1(l) Eigenvalues of a Hermitian operator are real5 marks
- 1(m) Rotational constants of ¹⁴N¹⁶O and ¹⁵N¹⁶O5 marks
- 1(n) Photon–molecule interaction in rotating HCl5 marks
- 1(o) Why radiative transitions are drawn vertical5 marks
- 1(p) Energy of one einstein at 600 nm and 300 nm5 marks