IIT JEE Questions on Modulus of Elasticity
Q1. Modulus of Rigidity of Diamond is
- Too less
- Greater than all matters
- Less than all matters
- Zero
Ans: 2
Q2. Which statement is true for a metal
- Y < n
- Y = n
- Y > n
- Y < 1/n
Ans: 3
As Y = 2n (1 + σ)
Q3. The Young’s Modulus of the material of a wire is 6 x 1012 N/m2 and there is no transverse strain in it, then it’s modulus of Rigidity will be
- 3 x 1012 N/m2
- 2 x 1012 N/m2
- 1012 N/m2
- None of the above
Ans: 1
Y = 2n (1 + σ) for no transverse strains ( s = 0 )
Y = 2n ⇒ n = Y/2 = 3 x 1012 N/m2
Q4. A cube of aluminum of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be
- 0.02
- 0.1
- 0.005
- 0.002
Ans: 4
Shearing Strain φ = x/l = 0.02cm/10cm = 0.002 cm
Modulus of Rigidity
Modulus of rigidity also known as shear modulus, is used to measure the rigidity of a given body. It is the ratio of shear stress to shear strain and is denoted by G or sometimes by S or μ. The modulus of rigidity of a material is directly proportional to its elastic modulus which depends on the material’s nature and properties.
In this article, we will talk about what Modulus of rigidity is, its formula, examples, and applications.
Table of Content
- What is the Modulus of Rigidity (Shear Modulus)?
- Modulus of Rigidity Formula
- Characteristics of Modulus of Rigidity
- Examples of Modulus of Rigidity
- Relation between Modulus of Elasticity and Modulus of Rigidity
- Modulus of Rigidity vs Modulus of Elasticity
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