Elastic behaviour, stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, modulus of rigidity; Pascal's law and its applications; viscosity; Stokes' law; terminal velocity; streamline and turbulent flow; Reynolds number; Bernoulli's principle; surface energy and surface tension; angle of contact; capillary rise; heat, temperature, thermal expansion; specific heat capacity; calorimetry; change of state, latent heat; heat transfer — conduction, convection and radiation.
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Q1 · Properties of Solids and Liquids · EASY
A steel wire of length 2 m and cross-sectional area 2 × 10⁻⁶ m² is stretched by a force of 400 N. If Young's modulus of steel is 2 × 10¹¹ N/m², what is the elongation in the wire?
Q2 · Properties of Solids and Liquids · MEDIUM
A small steel ball of radius 1 mm falls through a viscous liquid with terminal velocity 2 cm/s. If the density of steel is 7800 kg/m³ and the density of liquid is 800 kg/m³, what is the coefficient of viscosity of the liquid? (Take g = 10 m/s²)
Q3 · Properties of Solids and Liquids · MEDIUM
Water flows through a horizontal pipe of varying cross-section. At section A, the area is 10 cm² and the velocity is 2 m/s. At section B, the area is 5 cm². What is the pressure difference between sections A and B? (Density of water = 1000 kg/m³)
Q4 · Properties of Solids and Liquids · EASY
A capillary tube of radius 0.5 mm is dipped vertically in water. If the surface tension of water is 0.07 N/m and angle of contact is 0°, what is the height to which water rises in the tube? (Density of water = 1000 kg/m³, g = 10 m/s²)
Q5 · Properties of Solids and Liquids · HARD
A copper block of mass 500 g at 100°C is dropped into 1 kg of water at 20°C in an insulated container. If the final equilibrium temperature is 25°C, what is the specific heat capacity of copper? (Specific heat capacity of water = 4200 J/kg·K)