Question

In the case of a liquid
(A) Only Bulk modulus is defined
(B) Only bulk and shear modulus are defined
(C) Only bulk and Young’s modulus are defined
(D) Young’s modulus is defined but shear modulus is not defined.

Answer 1

Hint: According to hooke's law, the stress produced in the body is directly proportional to the strain produced in the same body. When we remove the proportionality sign, we get a constant. This constant depends on the medium we are considering. For liquid this constant is known as the Bulk modulus of elasticity.

Complete step by step solution
Hooke's law states that the stress developed in a body is directly proportional to the strain developed in the same body. Removing the proportionality sign, we get a constant of elasticity. For solids this constant is known as young’s modulus of elasticity. For solids, the stain taken can be linear, area, or volumetric strain. For fluids, this strain is always the volumetric strain. The constant of proportionality in the case of fluids is called Bulk modulus.

Therefore, the correct answer is option A.

Note There is another term used when dealing with liquids. This term is known as the Rigidity of the fluid. Quantitatively it is defined as the reciprocal of the Bulk modulus of elasticity. It is defined as the tendency of a body to stay rigid when acted upon by external forces.