Bond's Law describes the relationship between work and particle diameter; it states that the work required is proportional to:

• A. The square of diameter
• B. The square root of diameter
• C. The diameter itself
• D. Not a law

Answer: (B)

Bond's law describes how much work is needed to reduce particle size, and it shows the energy input per unit mass scales with the square root of the particle diameter. In practical terms, larger particles require more energy, but the increase is not linear; it grows with the square root, so doubling the diameter increases the work by about a factor of √2 rather than 2. This mid-ground exponent fits many grinding data better than a strictly linear or inverse relationship, which is why it’s used as a practical rule in comminution. The other options would imply a different, less accurate relationship (square of diameter or direct diameter) for typical size-reduction scenarios, while phrasing it as “not a law” ignores its established empirical basis in mineral processing.