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NEETPhysicsMechanical Properties of Solids

Assertion (A): Ductile materials exhibit a large plastic deformation before fracture. Reason (R): Ductile materials have a high Young's modulus.

Options

  1. ABoth A and R are true and R is the correct explanation of A.
  2. BBoth (A ) and (R ) are true but (R ) is not the correct explanation of A.
  3. C(A ) is true but (R ) is false.
  4. D(A ) is false but (R ) is true.

Correct answer

C. (A ) is true but (R ) is false.

Step-by-step solution

Ductile materials, by definition, can undergo significant plastic deformation (permanent change in shape) before they break. This means Assertion (A) is true. Young's modulus, however, is a measure of a material's stiffness or resistance to elastic deformation. A high Young's modulus indicates a stiff material, not necessarily a ductile one that undergoes large plastic deformation. Ductility is related to a material's ability to yield and deform plastically, which isn't directly measured by Young's modulus alone. T

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