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NEET Physics: modulus of rigidity Practice Questions

15 free multiple-choice questions on modulus of rigidity (Properties of Solids and Liquids) for NEET Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.

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  1. Q1. The Modulus of Rigidity is a measure of the material's resistance to which type of deformation?

    • AVolume change
    • BThermal expansion
    • CShear deformation
    • DElastic compression
    Show answer & explanation

    Correct answer: C — Shear deformation

    The Modulus of Rigidity specifically measures the material's resistance to shear deformation (angular deformation).

  2. Q2. A material with a very high modulus of rigidity is generally characterized as being:

    • AEasily deformed
    • BHighly ductile
    • CRigid and resistant to twisting
    • DVery compressible
    Show answer & explanation

    Correct answer: C — Rigid and resistant to twisting

    A high modulus of rigidity indicates that the material strongly resists shearing deformation, making it very rigid and difficult to twist or shear.

  3. Q3. If a material is subjected to a shear stress, the resulting angular deformation per unit shear stress is directly related to which property of the material?

    • AModulus of Elasticity
    • BBulk Modulus
    • CSurface Tension
    • DModulus of Rigidity
    Show answer & explanation

    Correct answer: D — Modulus of Rigidity

    The modulus of rigidity quantifies the material's resistance to changes in shape (shear deformation) when subjected to tangential forces (shear stress).

  4. Q4. Young's Modulus of Elasticity is defined as the ratio of:

    • AStress to strain
    • BArea to force
    • CStrain to stress
    • DForce to area
    Show answer & explanation

    Correct answer: A — Stress to strain

    Young's Modulus (Y) is mathematically defined as the ratio of tensile stress (σ) to longitudinal strain (ε); i.e., Y = σ/ε.

  5. Q5. The modulus of rigidity is fundamentally related to the ratio of which two physical quantities?

    • ABulk modulus and volume strain
    • BTensile stress and longitudinal strain
    • CShear stress and shear strain
    • DCompressive stress and angular deformation
    Show answer & explanation

    Correct answer: C — Shear stress and shear strain

    The modulus of rigidity (or shear modulus) is the ratio of shear stress applied to a material to the resulting shear strain experienced by the material.

  6. Q6. If the shear strain is doubled while keeping the material temperature constant, what happens to the shear stress applied?

    • AIt is quadrupled
    • BIt is doubled
    • CIt is halved
    • DIt remains the same
    Show answer & explanation

    Correct answer: B — It is doubled

    Since shear stress is directly proportional to shear strain (τ= Gγ), if the shear strain is doubled, the shear stress applied must also be doubled.

  7. Q7. In relation to stress-strain behavior, how does the modulus of rigidity relate to the resistance to angular deformation in a solid body?

    • AIt is directly proportional to the angular deformation
    • BIt is inversely proportional to the angular deformation
    • CIt is directly proportional to the resistance to angular deformation
    • DIt is independent of the angular deformation
    Show answer & explanation

    Correct answer: C — It is directly proportional to the resistance to angular deformation

    The modulus of rigidity is a measure of the material's resistance to shear deformation; thus, a higher value implies greater resistance to angular deformation.

  8. Q8. The property of a material that measures its resistance to shearing deformation is known as:

    • AYoung's Modulus
    • BPoisson's Ratio
    • CModulus of Rigidity
    • DBulk Modulus
    Show answer & explanation

    Correct answer: C — Modulus of Rigidity

    The modulus of rigidity (or shear modulus, G) is the specific measure of a material's resistance to shear stress.

  9. Q9. If a material has a very high Modulus of Rigidity, what does it imply about the material?

    • AIt is very easily deformed
    • BIt is highly ductile
    • CIt is very rigid and resists shearing
    • DIt has a low elastic limit
    Show answer & explanation

    Correct answer: C — It is very rigid and resists shearing

    A high modulus of rigidity indicates that the material strongly resists shear deformation, meaning it is very rigid.

  10. Q10. Which of the following statements correctly describes the elastic behavior of a solid material?

    • AIt only deforms when subjected to shear stress
    • BIt deforms permanently under stress
    • CIt exhibits plastic flow immediately
    • DIt obeys Hooke's law within the elastic limit
    Show answer & explanation

    Correct answer: D — It obeys Hooke's law within the elastic limit

    Within the elastic limit, the material obeys Hooke's law, meaning stress is directly proportional to strain, which defines the modulus of rigidity.

  11. Q11. Which physical quantity is used to calculate the modulus of rigidity of a material?

    • ADensity of the material
    • BRatio of force to cross-sectional area
    • CVolume of the material
    • DRatio of stress to strain
    Show answer & explanation

    Correct answer: A — Density of the material

    The modulus of rigidity is calculated by dividing the uniaxial stress developed in the material by the resulting uniaxial strain.

  12. Q12. When a constant force is applied to a cross-section, the resulting change in length is known as the strain. This change in length is directly related to which property of the material?

    • AModulus of Rigidity
    • BShear Modulus
    • CYoung's Modulus
    • DDensity
    Show answer & explanation

    Correct answer: C — Young's Modulus

    The change in length (strain) is directly related to the material's stiffness, quantified by Young's Modulus.

  13. Q13. Which physical quantity is the mathematical representation of shear stress?

    • AForce divided by area
    • BForce acting perpendicular to the surface divided by area
    • CForce divided by volume
    • DForce multiplied by distance
    Show answer & explanation

    Correct answer: B — Force acting perpendicular to the surface divided by area

    Shear stress (τ) is defined as the tangential force acting across a cross-sectional area.

  14. Q14. If a material has a high modulus of rigidity, what does this imply about its resistance to deformation?

    • AIt is highly compressible
    • BIt offers high resistance to elastic deformation
    • CIt yields easily to shear stress
    • DIt deforms easily under load
    Show answer & explanation

    Correct answer: B — It offers high resistance to elastic deformation

    A high modulus of rigidity indicates that the material strongly resists elastic deformation (stretching or shearing) when a force is applied.

  15. Q15. The modulus of rigidity of a material is the ratio of which two quantities?

    • AStress and Strain
    • BDensity and Pressure
    • CForce and Volume
    • DEnergy and Velocity
    Show answer & explanation

    Correct answer: A — Stress and Strain

    The modulus of rigidity (Young's Modulus) is defined as the ratio of the applied shear stress to the resulting shear strain. It measures the stiffness or resistance of an elastic material to shearing deformation.

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