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UPCET / UPSEE Mechanical Properties of Solids — practice questions — page 2

Explore 42 free Mechanical Properties of Solids questions in UPCET / UPSEE Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Mechanical Properties of Solids questions and exercises with answers

Showing questions 31–42 of 42.

Which of the following is the correct definition of **stress** in a deformed body?Read the answer and worked solution →A material that returns to its original shape once the deforming force is removed is said to beRead the answer and worked solution →The SI unit of Young's modulus isRead the answer and worked solution →On the stress-strain curve of a ductile material, the **proportional limit** is the point up to whichRead the answer and worked solution →A uniform pressure $P$ is applied isotropically to a solid sphere of bulk modulus $K$. The fractional change in volume isRead the answer and worked solution →The Poisson's ratio of a material is defined asRead the answer and worked solution →The theoretical range of Poisson's ratio for an isotropic material isRead the answer and worked solution →The elastic potential energy stored per unit volume in a stretched wire (within the elastic limit) isRead the answer and worked solution →Two blocks of 2 kg and 3 kg connected by a string are pulled by 10 N on the 3 kg block (frictionless). The acceleration isRead the answer and worked solution →NEET · Physics · Compressive or Tensile StressRead the answer and worked solution →Match each property of matterRead the answer and worked solution →Solids topic or fluids topic?Read the answer and worked solution →

Worked practice questions

Which of the following is the correct definition of **stress** in a deformed body?

  1. the change in length per unit original length
  2. the internal restoring force per unit area
  3. the external force applied to the body
  4. the volume change per unit applied force
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Correct answer: B. the internal restoring force per unit area

Stress $\sigma = F/A$ is the internal restoring force per unit cross-sectional area that the body develops to resist deformation. Option A defines *strain* (a dimensionless ratio). **Option C is the applied force itself, not stress.**

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A material that returns to its original shape once the deforming force is removed is said to be

  1. plastic
  2. elastic
  3. brittle
  4. ductile
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Correct answer: B. elastic

Elasticity is the property of returning to the original configuration when the deforming force is removed. Plastic materials retain the deformation. Brittle and ductile describe *how* a material fails or yields, not whether it recovers.

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The SI unit of Young's modulus is

  1. $\text{N}$
  2. $\text{N m}^{-2}$
  3. $\text{N m}^{2}$
  4. dimensionless
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Correct answer: B. $\text{N m}^{-2}$

$Y = \text{stress}/\text{strain}$. Strain is dimensionless, so $Y$ has the units of stress: $\text{N m}^{-2}$ (i.e. Pa). The same goes for shear modulus $G$ and bulk modulus $K$.

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