# If the unit weight (γ) of sand and clay samples are increased by 10% which of the following is true ?

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If the unit weight (γ) of sand and clay samples are increased by 10% which of the following is true ?

1. More volume reduction occurs in sand
2. More volume reduction occurs in clay
3. Equal volume reduction in sand and clay
4. Volume reduction is independent of γ
5.

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Correct Answer - Option 2 : More volume reduction occurs in clay

Explanation

1) Bulk Unit weight γb: It is defined as the ratio of the total weight of soil to the total volume of the soil mass.

${\gamma _b} = \frac{W}{V} = \frac{{{W_s} + {W_w}}}{{{V_s} + {V_w} + {V_a}}}$

As it is givem that if unit weight is increased by 10% (i.e.) it is signifying the weight of water is increased or Volume of water or air or Volume of voids got decreased.

(Weight of solids remains unchanged)

As the option relates to Volume.

Definitly volume reduction takes place.

Comparitively to Sand more Volume reduction takes place in clay.

Lets consider Montmorillonite clay (Expansive soil) It expands as well as shrinks more compared to sand.