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⚛️ Physics  ·  Mechanical Properties of Solids  ·  NEET & JEE

If a material has Youngs modulus Y and shear modulus G with G < Y always, this physically implies that compared to stretching, a given material:

Answer: Deforms more easily under shear (shape change) than under tension.

  • A Deforms more easily under shear (shape change) than under tension
  • B Deforms by exactly the same amount under shear as under tension
  • C Cannot undergo any shear deformation under any applied force
  • D Offers infinite resistance to shear with zero possible deformation

Correct answer: A. Deforms more easily under shear (shape change) than under tension

Explanation: Since shear modulus is generally smaller than Youngs modulus for the same material, materials typically deform (change shape) more readily under shearing stress than they stretch under tensile stress of the same magnitude.

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 →