Understanding the Concept:
The Tyndall effect is the scattering of light by particles suspended in a medium, the same reason a beam from a car's headlight becomes visible in foggy air.
Key Formula or Approach:
Light scattering by a particle becomes noticeable only when the particle's size is comparable to or larger than the wavelength of visible light, roughly 400 to 700 nanometres, or at least in the range colloids occupy (about 1 to 1000 nanometres).
Detailed Explanation:
In a true solution, the solute exists as individual ions or molecules, typically under 1 nanometre across, hundreds of times smaller than the wavelength of light. Compare this with a colloid, such as milk or starch solution, where particles are much bigger, large enough to deflect light and make the beam visible. A true solution simply does not have particles in that size range, so the light travels through it without being scattered.
Final Answer:
A true solution fails to show the Tyndall effect because its particles are too small in size to scatter light.