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#fluid properties

6 public questions tagged with this topic.

A capillary tube of radius 0.55mm is dipped in water (S\=0.0727N/m, ρ\=1000kg/m3, cos⁡θ\=1). What is the capillary rise?

h = 2Scos⁡θρga. S = 0.0727N/m, ρ = 1000kg/m3, g = 10m/s2, a = 0.55×10−3m. h = 2×0.0727×11000×10×0.55×10−3 = 0.02645m = 2.645cm. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.7 cm. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

What is the primary reason gases are more compressible than liquids?

Gases have weaker intermolecular forces and larger intermolecular spaces compared to liquids, allowing them to compress significantly under pressure, while liquids’ strong forces resist volume changes. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Weaker intermolecular forces. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCBI Bookshelf, Ideal Gas Law: P1V1/T1 = P2V2/T2.