Mass energy relation, Physics

Assignment Help:

Until the time of Einstein, mass and energy were considered as two different physical quantities. But in 1905, with the help of postulates of the special theory of relativity Einstein demonstrated that neither mass nor energy were conserved separately, but they could be traded one for the other and neither mass nor energy were conserved separately, but they could be traded one for the other and only the "total mass energy" was conserved. The most famous relationship between the mass and the enrgy given by Einstein is E = mc2

Here m is the effective mass, c is the speed of light, and E is the energy equivalent of the mass. According to this relation a certain amount of energy of any form can be considered as mass or conversely. Energy will increase if mass decreases; mass can be turned into energy. If the mass increases, energy must be turned into energy. If the mass increases, energy must be supplied, energy can be turned into mass. Mass and energy are interchangeable. Mass and energy is the same thing. According to Einstein's first postulate of relativity, all laws related with physical events have the same form in all inertial frames. Thus Newton's second law and work energy theorem will also remain valid in all inertial frames.

According to Newton's second law of motion, force is defined as the rate of change of linear moment of the body on which it acts i.e. now, from the statement of work energy theorem change in kinetic energy = work done by the particle using equation (2) in eqn. (3), we have

Since the effective mass of the particle moving with a velocity v is here m is the rest mass of the particle. On squaring eqn. (5), we get on differentiating eqn. (6)

Where E is the total energy of the particle, m is the relativistic mass of the particle, and c is the velocity of light. This equation is known as famous Einstein's mass energy relation. Non relativistic Kinetic Energy of particle : If the velocity of the particle is small compared to the velocity of light i.e. v << e then from equation 9 we have neglated higher order term, we have thus for small values of velocity v , equation (9) converts into classical formula of kinetic energy.


Related Discussions:- Mass energy relation

Galvanometer, With the help of neat & labelled diagram. Explain the princip...

With the help of neat & labelled diagram. Explain the principle & working of a moving coil galvanometer. What is importance of radial magnetic field.

Determine particles of medium as a longitudinal wave moves, As a longitudin...

As a longitudinal wave moves through a medium, the particles of the medium: w) Vibrate in a path parallel to the path of the wave x) Vibrate in a path perpendicular to t

Newton law, what is newton first law of motion

what is newton first law of motion

Imp, o meteors of rest-mass 0.1 and 0.2 kg, respectively, collide. If the r...

o meteors of rest-mass 0.1 and 0.2 kg, respectively, collide. If the relative speed before collision is 0.1c and an observer sees them coming with an equal and opposite speed and s

Explain about the principle of acousting grating, Explain about the princip...

Explain about the principle of acousting grating. Acousting Grating Principle: While ultrasonic waves are passed by a liquid, the density of the liquid varies layer by layer

Find the direction of wave, A plane e-m wave goes along vertical downward d...

A plane e-m wave goes along vertical downward direction. At a provided instant, the direction of E at a point is towards east. Find the direction of B?

Interference and diffraction, INTERFERENCE and DIFFRACTION: INTERFEREN...

INTERFERENCE and DIFFRACTION: INTERFERENCE: The physical effect of super position of waves from two sources vibrating with same frequency and amplitude is called the interfere

Nature of light, An electron is in a box of width 3*10^-10m.what are de bro...

An electron is in a box of width 3*10^-10m.what are de broglies wavlength and magnitude of momentum of the electron if it is in A)n=1 level B)n=2 level C)n=3 level Ans) use the

Define elastic fatigue, It is the need of elastic strength of a substance w...

It is the need of elastic strength of a substance when subjected to repeated stresses and strain. If the substance is reserved undisturbed for some time, the previous properties ar

What wavelength does the observer find in each case, A commuter train blows...

A commuter train blows its horn as it passes a passenger platform at a constant speed of 40.0m/s. The train horn sounds at a frequency of 305 Hz when the train is at rest. (a) W

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd