Class 11 · Chapter 9
Mechanical Properties of Solids
Overview, notes, short notes, formula sheet, daily practice problems, previous year questions, and videos for this chapter — all in one place.
Mechanical Properties of Solids JEE Notes
Fully worked, JEE-style problems on elasticity — Young's modulus, a wire stretching under its own weight, elastic energy density, and Poisson's ratio — going a level beyond the regular DPP.
A wire of length 2 m and cross-sectional area 2×10⁻⁶ m² stretches by 1 mm under a load of 400 N. Find Young's modulus of the material.
A uniform wire of mass 2 kg and length 4 m hangs vertically. Its cross-sectional area is 1×10⁻⁶ m² and Young's modulus is 2×10¹¹ Pa. Find its elongation due to its own weight. (g = 10 m/s²)
A material is stressed to 2×10⁸ Pa, and its Young's modulus is 2×10¹¹ Pa. Find the elastic potential energy stored per unit volume.
A solid block's volume decreases by 0.1% when subjected to a pressure increase of 2×10⁶ Pa. Find the bulk modulus of the material.
Two wires of identical length and cross-sectional area, but made of different materials with Young's moduli 2×10¹¹ Pa and 1×10¹¹ Pa, are each stretched by the same force. Find the ratio of their elongations.
A wire under tension has a longitudinal strain of 0.002. If the material's Poisson's ratio is 0.3, find the lateral strain (the fractional decrease in diameter).
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