[Solved] What is Bulk Modulus? (2024)

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[Solved] What is Bulk Modulus? ›

Sometimes referred to as the incompressibility, the bulk modulus is a measure of the ability of a substance to withstand changes in volume when under compression on all sides. It is equal to the quotient of the applied pressure divided by the relative deformation.

The bulk modulus ( or or. ) of a substance is a measure of the resistance of a substance to bulk compression. It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume.

What is the formula of bulk modulus? K = Δp * 1/ΔV/V = -pV/ΔV. This is the formula of bulk modulus of elasticity.

(30) K = p / Δ V / V o . The bulk modulus can be determined not only by static compression experiments, but also (and more easily) by measurement of the velocity of longitudinal elastic waves, that is, sound.

The bulk modulus of a material may be measured experimentally through several techniques such as powder diffraction, in which X-rays or electrons are targeted at a powdered or microcrystalline sample. However, more common nowadays are calculated values derived through modelling.

Bulk modulus is used to measure the incompressibility of a material. 'K' or 'B' are used to denote bulk modulus which is measured in Pascals. Bulk Modulus Formula is given as K = ΔP/(ΔV/V).

With in the elastic limit , upto which Hooke's law is applicable , the ratio of the normal stress to the volume strain is called the 'bulk modulus' of the material of the body . It is denoted by B . normal stress = p , volume strain = - ∆V / V . B = -pV / ∆V .

Young's Modulus is the ability of any material to resist the change along its length. Bulk Modulus is the ability of any material to resist the change in its volume. In this article, let us learn about the relationship between these two.

The variation of the volume of a solid with hydrostatic pressure at fixed temperature is termed its 'isothermal equation of state'. It is characterised by the bulk modulus of the material, K = -V(dP/dV) , which is a function of both temperature and pressure.

What is the bulk modulus required to determine? ›

The bulk modulus of elasticity is one of the measures of the mechanical properties of solids. Other elastic modules include Young's modulus and Shear modulus. In any case, the bulk elastic properties of a material are used to determine how much it will compress under a given amount of external pressure.

The Bulk modulus is defined as the ratio of direct stress to volumetric strain. SI unit of the bulk modulus is the same as that of pressure i.e., N/m2 or Pa. It is reciprocal of the compressibility of the fluid. It is denoted by K or B.

In other words, if pressure increases it will lead to a decrease in volume. If pressure P is positive, then the change in volume will be negative. The bulk modulus of the material in equilibrium is always positive. SI unit of the bulk modulus is the same as that of the pressure i.e.,N/m² or Pa (Pascals).

Explanation: Since, k (Bulk Modulus of elasticity) = Compressive Stress/Volumetric Stress, therefore, the unit of bulk modulus is N/m² and hence, the unit of compressibility will be m²/N.

The bulk modulus is represented by 'K'. Its dimension is force per unit area. We express it in the unit of Newton per square meter ( \[\frac{N}{m^{2}}\] ) in the metric system.

Bulk modulus of a substance is defined as the ratio of infinitesimal pressure increase to a decrease of the volume. Bulk modulus is meaningful only for a fluid. It is denoted as either K or B.

Bulk modulus (K):

The Bulk modulus is defined as the ratio of direct stress to volumetric strain. SI unit of the bulk modulus is the same as that of pressure i.e., N/m2 or Pa. It is reciprocal of the compressibility of the fluid. It is denoted by K or B.

For many materials, the bulk modulus tends to decrease as temperature increases. The reason is that increased thermal energy tends to make a substance more malleable, reducing its resistance to compression. Increases with pressure: This is correct. For most substances, the bulk modulus does increase with pressure.

Compressibility is the property of being compressed by pressure into a smaller space. It is denoted as . A substance's bulk modulus is defined as the ratio of infinitesimal pressure increase to volume decrease.