Question 3 of 18intermediate🧠 RememberFill in the Blanks5 marks

Fill in the blanks using the word(s) from the list appended with each statement: (a) Surface tension of liquids generally … with temperatures (increases / decreases) (b) Viscosity of gases … with temperature, whereas viscosity of liquids … with temperature (increases / decreases) (c) For solids with elastic modulus of rigidity, the shearing force is proportional to …, while for fluids it is proportional to … (shear strain / rate of shear strain) (d) For a fluid in a steady flow, the increase in flow speed at a constriction follows (conservation of mass / Bernoulli's principle) (e) For the model of a plane in a wind tunnel, turbulence occurs at a … speed for turbulence for an actual plane (greater / smaller)

(a)
Answer

decreases

(b)
Answer

increases, decreases

(c)
Answer

shear strain, rate of shear strain

(d)
Answer

conservation of mass

(e)
Answer

greater

Explanation

(a) Surface tension of liquids generally decreases with temperature.

(b) The context explicitly states: 'The viscosity of liquids decreases with temperature, while it increases in the case of gases.' As temperature rises, atoms in liquids become more mobile and η falls, while in gases, random motion increases and η increases.

(c) For solids with elastic modulus of rigidity, the shearing force is proportional to shear strain. For fluids, the context states: 'Unlike a solid, here the stress is found experimentally to depend on rate of change of strain or strain rate.' The coefficient of viscosity η is defined as the ratio of shearing stress to the strain rate.

(d) The increase in flow speed at a constriction follows conservation of mass. The continuity equation (A₁v₁ = A₂v₂) shows that when cross-sectional area decreases, velocity must increase to maintain constant mass flow rate. Bernoulli's principle then explains the corresponding pressure changes.

(e) For a model plane in a wind tunnel, turbulence occurs at a greater speed than for an actual plane. Since the model is smaller in size, it requires higher velocity to achieve the same Reynolds number for dynamic similarity.