Zaymiey

⚛️ Physics  ·  Mechanical Properties of Solids  ·  NEET & JEE

Two springs of force constants k1 and k2 connected in series behave like a single spring of effective Youngs-modulus analog with stiffness k. Which formula gives k?

Answer: 1/k = 1/k1 + 1/k2.

  • A k = k1 + k2
  • B 1/k = 1/k1 + 1/k2
  • C k = k1 - k2
  • D k = (k1 + k2)/2

Correct answer: B. 1/k = 1/k1 + 1/k2

Explanation: For springs (or wires) in series under the same force, compliances (inverse stiffness) add: 1/k = 1/k1 + 1/k2.

Stress-Strain Curve for a Ductile Metal WireStrainStresselastic limityield pointUTS (max stress)fractureSlope of the straight (elastic) portion = Young's modulus Y; the curve beyond elastic limit shows permanent (plastic) deformation

A typical stress-strain curve: the initial straight line (Hooke's Law region, slope = Young's modulus) ends at the elastic limit; beyond the yield point, deformation becomes permanent, peaking at the ultimate tensile strength before the wire finally fractures.

Concept context

Stress, strain, Hookes law, and the elastic moduli that describe how solids deform and recover under load.

Read the full Mechanical Properties of Solids notes →