Mechanical Properties of Solids
Maharashtra Board · Class 11 · Physics
Flashcards for Mechanical Properties of Solids — Maharashtra Board Class 11 Physics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Define stress and provide its formula with units.
Answer
Stress is the internal restoring force per unit area of a body when subjected to deformation. Formula: Stress = F/A Where F = applied force, A = cross-sectional area SI Unit: N/m² or Pascal (Pa) Dim…
What is strain? Write its formula and characteristics.
Answer
Strain is the ratio of change in dimensions of a body to its original dimensions due to applied force. Formula: Strain = Change in dimensions/Original dimensions Characteristics: • Dimensionless qua…
State Hooke's Law and write its mathematical expression.
Answer
Hooke's Law: Within elastic limit, stress is directly proportional to strain. Mathematical Expression: Stress ∝ Strain Stress/Strain = constant (Modulus of Elasticity) This law is valid only within …
Define Young's modulus and write its formula with units.
Answer
Young's modulus is the ratio of longitudinal stress to longitudinal strain within elastic limit. Formula: Y = (F/A)/(Δl/L) = FL/(AΔl) Where: F = applied force, A = cross-sectional area L = original l…
A steel wire of length 2m and cross-sectional area 1×10⁻⁶ m² is stretched by a force of 100N. If the elongation is 2×10⁻³ m, calculate Young's modulus.
Answer
Given: L = 2 m A = 1×10⁻⁶ m² F = 100 N Δl = 2×10⁻³ m Formula: Y = FL/(AΔl) Solution: Y = (100 × 2)/(1×10⁻⁶ × 2×10⁻³) Y = 200/(2×10⁻⁹) Y = 1×10¹¹ N/m² Therefore, Young's modulus = 1×10¹¹ N/m²…
Define Bulk modulus and explain its significance.
Answer
Bulk modulus is the ratio of volume stress to volume strain within elastic limit. Formula: K = -V(dP/dV) = Volume stress/Volume strain Where: V = original volume, dP = change in pressure dV = change …
What is modulus of rigidity? Write its formula and applications.
Answer
Modulus of rigidity (η) is the ratio of shear stress to shear strain within elastic limit. Formula: η = (F/A)/θ = F/(A×θ) Where: F = tangential force, A = area θ = shear strain (angle in radians) SI…
Define Poisson's ratio and write its formula.
Answer
Poisson's ratio is the ratio of lateral strain to longitudinal strain within elastic limit. Formula: σ = Lateral strain/Longitudinal strain σ = (Δd/d)/(Δl/l) Where: Δd = change in diameter, d = orig…
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