Three liquids have same surface tension and have densities ₁, ₂ and ₃( ₁ > ₂ > ₃) . In three identical capillaries rise of liquid is same. The corresponding angles of contact ₁, ₂ and ₃ are related as

Step-by-step solution

The height of capillary rise is given by the formula: h = 2T r g Rearranging the formula for , we get: = h r g 2T It is given that the surface tension T , capillary radius r , and capillary rise h are the same for all three liquids. Therefore, the term h r g 2T is a constant. This implies that . Given the relation between the densities is ₁ > ₂ > ₃ , it follows that: ₁ > ₂ > ₃ For capillary rise, the angle of contact is acute ( 0 Thus, the relation between the angles of contact is: ₁ Answer: ₁ < ₂ < ₃