If 90% of soil particles got retained over 2 mm sieve and 50% of soil particles got retained over 4.75 mm sieve, then the effective diameter of the soil will be: 

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  1. 4.75 mm
  2. 6.75 mm
  3. 2 mm
  4. 1.25 mm 

Answer (Detailed Solution Below)

Option 3 : 2 mm
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Explanation:

  • The effective diameter of soil, often referred to as  D_{10}  is the particle size at which 10% of the soil particles are finer by weight.
  • 90% of the soil particles are retained on a 2 mm sieve.
  • 50% of the soil particles are retained on a 4.75 mm sieve.
  • If 90% of the particles are retained on a 2 mm sieve, then 10% of the particles pass through the 2 mm sieve.
  • This means the effective diameter D10 corresponds to 2 mm, as it's the size below which 10% of the particles exist.
  • The effective diameter D10 of the soil will be 2 mm.
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