Final answer:
SEM can produce 3-D images of sample surfaces without requiring a thin sample, but its resolution is less than that of TEM, contrary to the claim of superior resolution.
Step-by-step explanation:
The statement that is false about scanning electron microscopy (SEM) is that SEM has better resolution than light microscopy. SEM provides detailed 3-D images of sample surfaces by using secondary electrons, does not require a thin sample, and is capable of providing a three-dimensional view.
However, the resolution of SEM is less compared to Transmission Electron Microscopy (TEM), with SEM having roughly ten times less resolution than TEM. SEM uses a focused beam of electrons scanned across the surface and a CCD detector to create the image, while specimens must be specially prepared, including being coated with metal like gold for conductivity and image clarity.