Step 1: Understanding the Concept:
Screw conveyors (augers) use a rotating helical screw blade within a trough or tube to convey granular or liquid materials.
Step 2: Detailed Explanation:
- Statement (I): A horizontal screw conveyor is one of the most widely used methods to transport bulk grains, powders, and animal feed across processing facilities. Therefore, Statement (I) is correct.
- Statement (II): Screw conveyors can operate at an incline. As the angle of inclination increases, gravity causes grain to slide backward, reducing the conveyor's volumetric efficiency.
Despite this drop in capacity, standard augers can effectively convey grains at inclines up to 45\(^{\circ}\) (and even vertically, if high rotation speeds are maintained inside a completely enclosed tube).
Therefore, Statement (II) is also correct.
Step 3: Final Answer:
Both Statement (I) and Statement (II) are correct.