JEE Main Mechanical Properties of Solids and Fluids — practice questions
37 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main Mechanical Properties of Solids and Fluids in the app →Stress is defined as:Strain (longitudinal) is:Young's modulus Y is ratio of:Hydraulic pressure at depth h below liquid surface (density ρ):Pascal's law states pressure applied to enclosed fluid is:Bulk modulus B for fluid relates pressure change to:Poisson's ratio σ for a stretched rod relates:Bernoulli's equation: along streamline of ideal fluid:Equation of continuity for incompressible fluid:Stokes' law: viscous drag on sphere of radius r moving at v through fluid of viscosity η:Terminal velocity of sphere (radius r, density ρ_s) falling in viscous fluid (density ρ_f, viscosity η):Surface tension of liquid γ has SI unit:Excess pressure inside spherical drop of radius r (surface tension γ):Capillary rise h for liquid in tube of radius r:Reynolds number R_e for tube flow:Steel wire (Y = 2 × 10¹¹ Pa) of length 2 m and cross-section 1 mm² stretches by 1 mm under load. Load force:Two wires of same material, same length, but cross-sections 1 mm² and 2 mm². Same load: ratio of extensions:Energy stored per unit volume in stretched wire:Two wires of same material (Y, ρ) and same length, one twice the diameter. Ratio of extensions under same loadFor elastic wire, breaking stress depends on:For a metallic rod heated through ΔT with Y and α (thermal expansion) and rigidly held:Density of mercury 13.6 × 10³ kg/m³. Atmospheric pressure equivalent in mercury column:Hydraulic press: small piston area 5 cm², large piston area 50 cm². Force on small piston 20 N. Force on largeVelocity of efflux from small hole at depth h below free surface (Torricelli's law):Water flows through pipe area A₁ = 4 cm² at 2 m/s, narrows to A₂ = 1 cm². Velocity at narrow section:Manometer reading: open-tube manometer measures gas pressure. Mercury height difference = 20 cm with gas side Drop of radius R splits into 8 drops of equal size. Each new radius:Excess pressure inside soap bubble of radius 2 cm (γ = 0.025 N/m):Water (γ = 0.072 N/m, ρ = 1000 kg/m³) rises in capillary 1 mm diameter (assume θ = 0):For elastic potential energy in stretched wire: F × ΔL / 2. Also equals:For ideal fluid, viscosity:Pressure at depth h in liquid column under atmospheric pressure P₀:For thin spherical shell of water (radius R, thickness t), volume of water:For dynamic surface tension in oil drop slowly forming at tip of pipette, drop falls when:For frictionless liquid flow in horizontal tube of varying cross-section, where is pressure greatest?Find Y if a wire of length 4 m, area 0.1 mm² stretches 0.5 mm under 5 kg load (g = 10):Compressibility (1/B) of water at standard conditions: