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Explain the different types of elastic constant.

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1. Young’s modulus (y): It is defined as the ratio of longitudinal stress to the longitudinal strain.

y = (Longitudinal stress/Longitudinal strain)

where F - Longitudinal force,

L - original length,

dl - change in length,

A - area of cross-section of the wire.

2. Rigidity modulus (η): It is defined as the ratio of shearing stress to the shearing strain.

η = (Shearing stress/Shearing strain)

where F - tangential force, 

A - area of the surface, 

h - height of the surface, 

x - displacement of the surface

3. Bulk modulus (K) : It is defined as the ratio of bulk stress to the bulk strain. Bulk modulus is given by,

where F/A = P - pressure, V is the original volume and dV is the change in volume.

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