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Question
50 gm of oven dried soil of five sizes shown in the table is taken for hydrometer analysis and 1000 cc of suspension is prepared and filled in a jar up to 30 cm height.
Particle size (mm) Weight (gm)
0.06 6
0.05 20
0.03 15
0.015 5
0.004 4
If specific gravity of soil solids is 2.7 and viscosity of soil water suspension is 1 × 10-6 kN sec/m2, the time required for all the particles to settle to the bottom of the jar is
A.
2 hr 16 min
B.
5 hr 37 min
C.
11 hr 55 min
D.
23 hr 50 min
Answer ( Option B)

5 hr 37 min

Solution

Height of jar = 30 cm
From stokes' law,
If the lighter particle from the group of particle would have settled at bottom that means every particle would have settled at bottom.
Here, diameter (d) = 0.004 is taken
 14.28 × 10–6 m/s
If H is height of jar than time taken t to settle the partical with settling velocity VS is-
 = 20215 sec
= 5hr 37min

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