Discussion
Match the column 'Moduli of elasticity' with the column 'Descriptions'. Moduli of elasticity Descriptions a) Young's modulus i) It is the ratio of the shearing stress applied to the body to the shearing strain produced. b) Bulk (or) Volume modulus ii) It is defined as the ratio of linear stress to linear strain. c) Shearing (or) Rigidity modulus iii) It is defined as the ratio of bulk stress to bulk strain.
Answer: A
The correct match is a-ii, b-iii, c-i. Young's modulus is the ratio of linear stress to linear strain (ii). The bulk or volume modulus is the ratio of bulk stress to bulk strain (iii). The shearing or rigidity modulus is the ratio of the shearing stress applied to the body to the shearing strain produced (i). \[ Y = \frac{\text{linear stress}}{\text{linear strain}} \] Each of the other options gives at least one modulus the definition of a different one.
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