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If the value of Poisson’s ratio is zero, then it means that

  • a)
    The material is perfectly plastic 

  • b)
    The material is rigid

  • c)
    There is no longitudinal strain in the material

  • d)
    The longitudinal strain in the material is infinite

Correct answer is option 'B'. Can you explain this answer?
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If the value of Poisson’s ratio is zero, then it means thata)The...
Explanation:
  • Poisson's ratio: It is defined as the ratio of transverse strain to longitudinal strain in the direction of the stretching force.
  • When a material is stretched in one direction, it tends to get compressed in the direction perpendicular to the direction of the force. 
  • Thus, a longitudinal strain causes a transverse strain and vice versa.
  • Poisson's ratio is positive for tensile deformation and negative for compressive deformation.
  • Poisson's ratio is
  • Where ϵt is the transverse strain and ϵl is the longitudinal strain.
  • Poisson's ratio zero means that the longitudinal strain is zero and due to that transverse strain is also zero, which happens when the material is rigid.
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If the value of Poisson’s ratio is zero, then it means thata)The...
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If the value of Poisson’s ratio is zero, then it means thata)The...
Option D is also be correct by definition of Poisson ratio,
Poisson Ratio= -(Lateral strain)/ (Longitudinal strain)
option One is also correct by the matter defination,,in real there is no any body is perfectly rigid but ideal assumption that rigid body has zero Poisson ratio
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