Step 1: Understanding the Question:
The question asks to identify the physical condition relating particle size and screen opening (aperture) size that causes the overall efficiency of a sieving (screening) operation to drop.
Step 2: Detailed Explanation:
• Sieving Principle: Sieving is a unit operation designed to separate a mixture of solid particles into size fractions by passing them through screens containing specific opening sizes.
• Near-Mesh/Near-Size Particles: When the size of the particles is extremely close to the aperture size of the sieve screen (i.e., Particle size $\approx$ aperture size), sieving efficiency decreases dramatically.
• Blinding of Screens: These "near-size" particles easily lodge inside the screen openings instead of passing through or bouncing off. This phenomenon is known as "blinding" or "pegging."
• Obstruction of Flow: Once screen apertures are blocked by wedged particles, the effective open area of the sieve decreases, preventing smaller particles from passing through and reducing separation efficiency.
• Why Other Options are Incorrect:
• Particle size $\gg$ aperture size: Very large particles are easily retained on top of the screen and do not clog the apertures, maintaining high efficiency for the undersize fraction.
• Perfectly spherical particles: Spherical shapes actually increase sieving efficiency because they pass through openings more easily than irregular, elongated, or flat particles.
• Moisture content is zero: Dry materials screen much more efficiently than damp materials, which tend to agglomerate and cause screen blinding.
Step 3: Final Answer:
Sieving efficiency drops when particle size is approximately equal to the screen aperture size due to screen blinding, corresponding to option (A).