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Shear modulus or modulus of rigidity is
  • a)
    the ratio of shearing stress to the corresponding lateral strain
  • b)
    the ratio of shearing stress to the corresponding shearing strain
  • c)
    the ratio of longitudinal stress to the corresponding shearing strain
  • d)
    the ratio of shearing strain to the corresponding shearing stress
Correct answer is option 'B'. Can you explain this answer?
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Shear modulus or modulus of rigidity isa)the ratio of shearing stress ...
Shear modulus or modulus of rigidity is the ratio of shearing stress to the corresponding shearing strain, by the definition of shear modulus.
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Shear modulus or modulus of rigidity isa)the ratio of shearing stress ...
The correct answer is option 'B', which states that the shear modulus or modulus of rigidity is the ratio of shearing stress to the corresponding shearing strain. Let's understand this concept in detail:

Shear Modulus or Modulus of Rigidity Definition:
The shear modulus or modulus of rigidity is a material property that measures its resistance to shearing deformation. It determines the stiffness of a material under shear stress. The shear modulus is denoted by the symbol G.

Shear Stress and Shearing Strain:
Before understanding the shear modulus, it is important to know the terms shear stress and shearing strain:

1. Shear Stress:
Shear stress is the force exerted parallel to an area, divided by the normal area of the material. It is a measure of the intensity of the internal resistance within a material to resist deformation by shear. Shear stress is denoted by the symbol τ (tau).

2. Shearing Strain:
Shearing strain is the change in shape of a material when subjected to a shearing force. It represents the relative displacement between two adjacent layers of the material parallel to the direction of the applied shearing force. Shearing strain is denoted by the symbol γ (gamma).

Relation between Shear Stress and Shearing Strain:
The shear modulus is defined as the ratio of shear stress (τ) to the corresponding shearing strain (γ). Mathematically, it is represented as:

G = τ / γ

Where:
G = Shear Modulus or Modulus of Rigidity
τ = Shear Stress
γ = Shearing Strain

Explanation of the Correct Answer:
Option 'B' states that the shear modulus is the ratio of shearing stress to the corresponding shearing strain. This is the correct answer because it accurately represents the definition and formula of the shear modulus. The shear modulus is a material property that quantifies the resistance of a material to shearing deformation. It relates the shear stress and shearing strain, and the ratio of these two quantities represents the shear modulus.
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Attempt All sub parts from each question.Longitudinal and transverse wave: Longitudinal Waves are defined as waves those are capable of displacing the medium in a direction either in the direction of the waves or opposite. Longitudinal mechanical waves are known as compressional waves. This is because these mechanical waves produce a lot of compression and rarefaction while travelling through medium. These waves are also called as pressure waves as there is an increase and decrease in pressure while travelling. Sound Waves like vibrations, P-Waves created through earthquakes, etc., are some kinds of longitudinal waves. A transverse wave is defined as the wave that moves in the perpendicular direction of the vibration. One of the most important examples of transverse waves includes the waves created by the drum's beating. The membrane of the drum moves perpendicular to the surface. Another example of a transverse wave is light. Transverse waves travels through crests and troughs. Transverse waves are mostly present in solids those have profound elasticity. In some cases, when there is a deformation in the material, the wave is called a shear wave.Q. Which wave produces compressions and rarefactions in the medium?

Attempt All sub parts from each question.Longitudinal and transverse wave: Longitudinal Waves are defined as waves those are capable of displacing the medium in a direction either in the direction of the waves or opposite. Longitudinal mechanical waves are known as compressional waves. This is because these mechanical waves produce a lot of compression and rarefaction while travelling through medium. These waves are also called as pressure waves as there is an increase and decrease in pressure while travelling. Sound Waves like vibrations, P-Waves created through earthquakes, etc., are some kinds of longitudinal waves. A transverse wave is defined as the wave that moves in the perpendicular direction of the vibration. One of the most important examples of transverse waves includes the waves created by the drum's beating. The membrane of the drum moves perpendicular to the surface. Another example of a transverse wave is light. Transverse waves travels through crests and troughs. Transverse waves are mostly present in solids those have profound elasticity. In some cases, when there is a deformation in the material, the wave is called a shear wave.Q. Which wave is also known as compressional wave?

Attempt All sub parts from each question.Longitudinal and transverse wave: Longitudinal Waves are defined as waves those are capable of displacing the medium in a direction either in the direction of the waves or opposite. Longitudinal mechanical waves are known as compressional waves. This is because these mechanical waves produce a lot of compression and rarefaction while travelling through medium. These waves are also called as pressure waves as there is an increase and decrease in pressure while travelling. Sound Waves like vibrations, P-Waves created through earthquakes, etc., are some kinds of longitudinal waves. A transverse wave is defined as the wave that moves in the perpendicular direction of the vibration. One of the most important examples of transverse waves includes the waves created by the drum's beating. The membrane of the drum moves perpendicular to the surface. Another example of a transverse wave is light. Transverse waves travels through crests and troughs. Transverse waves are mostly present in solids those have profound elasticity. In some cases, when there is a deformation in the material, the wave is called a shear wave.Q. Which wave is also known as pressure wave?

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Shear modulus or modulus of rigidity isa)the ratio of shearing stress to the corresponding lateral strainb)the ratio of shearing stress to the corresponding shearing strainc)the ratio of longitudinal stress to the corresponding shearing straind)the ratio of shearing strain to the corresponding shearing stressCorrect answer is option 'B'. Can you explain this answer?
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Shear modulus or modulus of rigidity isa)the ratio of shearing stress to the corresponding lateral strainb)the ratio of shearing stress to the corresponding shearing strainc)the ratio of longitudinal stress to the corresponding shearing straind)the ratio of shearing strain to the corresponding shearing stressCorrect answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Shear modulus or modulus of rigidity isa)the ratio of shearing stress to the corresponding lateral strainb)the ratio of shearing stress to the corresponding shearing strainc)the ratio of longitudinal stress to the corresponding shearing straind)the ratio of shearing strain to the corresponding shearing stressCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shear modulus or modulus of rigidity isa)the ratio of shearing stress to the corresponding lateral strainb)the ratio of shearing stress to the corresponding shearing strainc)the ratio of longitudinal stress to the corresponding shearing straind)the ratio of shearing strain to the corresponding shearing stressCorrect answer is option 'B'. Can you explain this answer?.
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