Physics of solids

NUST NET Physics · Physics · Solids and electronics. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

When a force stretches a solid, stress is the force on each square metre of cross-section and strain is the fractional change in length. Up to the proportional limit stress is proportional to strain. Their ratio is Young's modulus, a property of the material and not of the size or shape of the sample.

Solids are classed by how their atoms are arranged. Crystalline solids have a regular repeating pattern and a sharp melting point, amorphous solids such as glass have no long-range order, and polymeric solids are made of long chain molecules.

Magnetic materials are diamagnetic, paramagnetic or ferromagnetic. Ferromagnets contain domains that line up in a field; this is lost above the Curie temperature.

Rules to remember

Common mistake

Treating area as proportional to diameter. Area depends on diameter squared, so a wire of twice the diameter has four times the area and a quarter of the extension for the same force and length.

Worked example

A wire 2.0 m long with cross-sectional area 1.0 × 10−6 m2 is stretched by a force of 100 N. Its Young's modulus is 2.0 × 1011 Pa. What is its extension?

  1. Stress = F/A = 100/(1.0 × 10−6) = 1.0 × 108 Pa.
  2. Strain = stress/Y = (1.0 × 108)/(2.0 × 1011) = 5.0 × 10−4.
  3. Extension = strain × length = 5.0 × 10−4 × 2.0 = 1.0 × 10−3 m.

Answer: 1.0 × 10−3 m (1.0 mm)

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