Mass-Energy Relation

Mass-energy relation expresses that each article has specific energy even in a fixed position. A fixed body doesn’t have active energy. It just has expected energy and likely compound and nuclear power. As indicated by the field of applied mechanics, the amount of this multitude of points is more modest than the result of the particle’s mass and the square of the speed of light.

Mass-Energy Relation

According to the special theory of relativity, E = mC2 is the relationship between mass and energy. The function of mass is energy. The more mass a body has, the more energy it gains or releases. The term “mass-energy relation” refers to the fact that mass and energy are the same and may be interchanged into one another. Albert Einstein proposed this concept. However, he was not the first to do so. With his theory of relativity, he accurately described the relationship between mass and energy. The equation is written as E=mC2 and is known as Einstein’s mass-energy equation.

Where E is the object’s equivalent kinetic energy, m is the object’s mass (Kg), and C is the speed of light (roughly = 3 x 108 m/s).

Furthermore, the mass-energy relation indicates that the body’s rest mass will drop if energy is released from the body due to such a conversion. Ordinary chemical energy involves such a transfer of rest energy to other types of energy, while nuclear energy involves significantly bigger conversions.

Einstein’s mass-energy relation is derived in the following way:

Consider an object travelling at the speed of light. A unified force is acting upon it. Energy or momentum are induced in it due to the applied force. 

P = m C

We know,

Energy acquired= Force x Distance through which force acts

E = F x c  ………………………………………… (1) Also,

the momentum gained = the force x the time it takes for the force to act.

As, momentum = mass x velocity,

The momentum gained = m x C

Hence, Force= m x C ……………………………. (2) 

When we combine equations (1) and (2), we get E=mC2.

Here

p = Momentum

m = mass

C = speed of light

Mass-energy relation expresses that each article has specific energy even in a fixed position. A fixed body doesn’t have active energy. It just has expected energy and likely compound and nuclear power. As indicated by the field of applied mechanics, the amount of this multitude of points is more modest than the result of the particle’s mass and the square of the speed of light.

Mass-energy relation implies mass and energy are very similar and can be changed over into one another. Einstein put this thought forward, yet he was not quick to uncover this. He portrayed the connection between mass and energy precisely utilising his relativity hypothesis. The condition is known as Einstein’s mass-energy condition and is communicated as,

 E=mc²

Where E= comparable dynamic energy of the article,

m= mass of the item (Kg) and

 c= speed of light (roughly = 3 x 108 m/s)

Binding Energy

The binding energy of a nucleus is the energy required to bring a nucleus from its most stable configuration to a less stable configuration. The binding energy per nucleon is a measure of the size of the nucleus, and is the energy required to bring one nucleus close to another. This binding energy is also equal to the sum of the kinetic energy of the nucleons, which is the energy required to remove the nucleons from their initial positions. The binding energy per nucleon is inversely proportional to the size of the nucleus.

Variation of binding energy with mass:

The binding energy of an atom is directly related to the mass of the atom. The higher the mass number of an atom, the higher the binding energy. For example, a nitrogen-14 atom has a significantly higher binding energy than a nitrogen-15 atom, even though both atoms have the same mass.

Conclusion 

Mass-energy relation expresses that each article has specific energy even in a fixed position. A fixed body doesn’t have active energy. It just has expected energy and likely compound and nuclear power. As indicated by the field of applied mechanics, the amount of this multitude of points is more modest than the result of the particle’s mass and the square of the speed of light,

 E=mc²

Where E= comparable dynamic energy of the article,

m= mass of the item (Kg) and

c= speed of light (roughly = 3 x 108 m/s)