Question:

For medium silt whose average grain size is \(0.16\) mm, Lacey's silt factor is likely to be

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Remember Lacey's formula: \[ \boxed{ f=1.76\sqrt{d} } \] where \(d\) is expressed in millimetres.
Updated On: Jul 23, 2026
  • \(0.30\)
  • \(0.45\)
  • \(0.70\)
  • \(1.32\)
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The Correct Option is C

Solution and Explanation

Concept: Lacey's silt factor is used in the design of stable alluvial channels. It is given by \[ \boxed{ f=1.76\sqrt{d} } \] where \[ d=\text{Mean particle size (mm)}. \]

Step 1:
Write the given data. \[ d=0.16\text{ mm} \]

Step 2:
Calculate the silt factor. \[ f = 1.76\sqrt{0.16} \] \[ = 1.76\times0.4 = 0.704 \] \[ \boxed{f\approx0.70} \] Therefore, the correct option is \[ \boxed{(C)\;0.70.} \]
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