Mechanical Operations
A centrifugal filtration unit operating at a rotational speed of w has inner surface of the liquid (density ρL) located at a radial distance R from the axis of rotation. The thickness of the liquid film is δ and no cake is formed. The initial pressure drop during filtration is

½w² . R . ρL(R + 2δ)
½w² . δρL (2R + δ)
½w² . δ² . ρL
½w² . R² . ρL

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Mechanical Operations
Pick out the wrong statement pertaining to the roll crushers.

For hard material's crushing, the reduction ratio should not exceed 4
Both the rolls run necessarily at the same speed
Maximum feed size determines the required roll diameter
Reduction ratio and differential roll speed affect production rate & energy consumed per unit of surface produced

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