# Bulk Modulus Formula

## Bulk Modulus Formula

The material’s Bulk Modulus Formula characteristic has an impact on how elastic it is. The Bulk Modulus Formula is one of the ways to gauge a solid’s mechanical characteristics. Young’s modulus and Shear’s modulus are more examples of elastic moduli. The Bulk Modulus Formula characteristics of a material are always used to determine how much a given amount of external pressure will cause it to compress. Finding the ratio of the pressure change to the fractional volume compression is crucial.

The proportional change in a body’s volume caused by a single compressive or tensile stress operating evenly across the surface is known as the Bulk Modulus Formula.

The Bulk Modulus Formula defines how a material responds to homogeneous compression. The Bulk Modulus Formula is a fact that external pressures are evenly distributed throughout an object’s surface when they are perpendicular to the surface. This might also happen if an item changes volume without changing shape when submerged in a fluid.

The ratio of the magnitude of the change in the quantity of force, F, to the surface area is what we refer to as the volume stress or P. Any liquid’s compressibility is gauged by its Bulk Modulus Formula. The Bulk Modulus Formula was calculated by experts as the amount of pressure needed to cause a change in the volume of one unit.

## Bulk Modulus Formula

Students must first understand that bulk refers to, a larger size or scope. The Collins dictionary defines bulking as “the expansion of excavated material to a volume greater than that of the excavation from which it came.” Experts at Extramarks have talked about the elastic Bulk Modulus Formula in Extramarks’ Bulk Modulus Formula notes and solutions. A constant that indicates the elastic properties of matter is the Bulk Modulus Formula. The body changes when a constant pressure (normal force) is applied to its entire surface, but its shape doesn’t change. Such a strain may appear in all three states: solid, liquid, and gas. Volume strain refers to the variation in volume per unit area, whereas a normal strain refers to the normal force acting on the surface per unit area.

Students can access the notes, solutions, solved examples and practice questions based on the Bulk Modulus Formula from the Extramarks website and mobile application, by registering themselves on the Extramarks website and mobile application.

### Definition

The Bulk Modulus Formula of a given material is the ratio of its volumetric stress to its volumetric strain when the deformation of the material is within its elastic range.

Simply said, the Bulk Modulus Formula is nothing more than a numerical constant used to quantify and explain solid or liquid elastic characteristics when pressure is applied to all of its surfaces.

One way to assess the mechanical characteristics of solids is to look at their Bulk Modulus Formula of elasticity.

Young’s and Shear’s moduli are examples of additional elastic modules.

In any instance, how much a material will compress under a specific level of external pressure is determined by the bulk elastic characteristics of the material.

### Bulk modulus formula is –

Bulk Modulus Formula is determined by the relationship between the amount of pressure exerted and the associated proportionate decrease in material volume.

The Bulk Modulus Formula is denoted mathematically as follows:

B = P /(V/V) Whenever:

Bulk modulus, B

P: Change in the amount of force or pressure exerted per square inch on the substance

V: Compression-induced change in the material’s volume

V: The initial volume of the substance in English system units and N/m2 in the metric system.

The Bulk Modulus Formula notes and solutions include all solutions to exercises given in the NCERT CBSE book. Extramarks experts also provide online mentoring and classes for students of all grades. Students can thus take advantage of this and try to learn the concepts contained in the Bulk Modulus Formula more effectively.

### Solved Examples on Bulk Modulus Formula

Example 1: What is the bulk modulus of a body whose volume changes from 4 cm3 to 3.9 cm3 while its pressure changes by 5*104 N/m2?

Answer: Using the formula, one may get the bulk modulus.

B = ΔP /(ΔV/V)

B = (5*104 N/m2)/(4 cm3 – 3.9 cm 3)/4 cm 3 = 0.125 * 104 N/m2

B = 1.25 *104 N/m2

More such examples can be accessed on the Extramarks website and mobile application. Students can use these solved examples to better understand the working of the Bulk Modulus Formula.