Start by separating the two evaporator types by how the liquid travels. In a rising film unit, vapor generated in the tube pushes liquid upward, creating strong turbulence that helps handle liquids whose viscosity increases while concentrating. In a falling film unit, liquid simply drips down the tube wall under its own weight, forming a thin, gently moving film.
Because a falling film depends only on gravity and film tension to stay attached to the tube, it needs a liquid that stays reasonably fluid throughout the run. Once concentration pushes viscosity up, the film breaks into channels, leaves dry spots on the hot wall, and the product can burn or foul the tube. That rules out falling film evaporators for foods that keep getting thicker as water leaves them, so Assertion (A) does not hold.
Reason (R) is simply describing the physical mechanism of a falling film unit, movement by gravity, not by vapor buoyancy, which is accurate on its own.
Putting these together, (A) fails while (R) stands true, matching option 4.
\[\boxed{\text{Option 4: (A) is false but (R) is true}}\]