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

Compute the primary and the secondary currents, Q. In an ideal transformer,...

Q. In an ideal transformer, the transformer ratio is 1:20.The input voltage and the input power are 6 V and 600 mW respectively. Compute the primary and the secondary currents.

What is the maximum wavelength of the visible spectrum, What is the maximum...

What is the maximum wavelength of the visible spectrum so that 3 rd order spectrum can be obtained by a plane diffraction grating having 5654 lines/cm?

Young''s double slits experiment, describe young''s double slits experiment...

describe young''s double slits experiments for interference of light ?

Name the types of photoelectric cells, Q. Name the types of photoelectric c...

Q. Name the types of photoelectric cells? The photo electric cells are of three kinds: A) Photo emissive cell B) Photo voltaic cell and C) Photo conductive cell.

Explain the focal length of the convex lens, Convex lens can be used as a m...

Convex lens can be used as a magnifying glass. When an object that is 15.0 cm from the lens has an image that is exactly 55 times the size of the object, what is the focal leng

Simple harmonic motion, what is the displacement of the body when potential...

what is the displacement of the body when potential and kinetic energies are eqal?

Define step - up transformer, A transformer has 124 turns on the  primary c...

A transformer has 124 turns on the  primary coil and 18,600 turns on the  secondary coil. a. Is this a step-down or a step-up  transformer? step-up transformer

Differential equation for simple harmonic oscillator, Write down Seteps of ...

Write down Seteps of differential equation for simple harmonic oscillator subjected to a damping force proportional to periodic force of angular frequency ω and velocity of oscilla

Which series describes electron transition for hydrogen atom, For the hydro...

For the hydrogen atom, which series describes electron transitions to the N=1 orbit, the lowest energy electron orbit? Is it the: a)  Lyman series b)  Balmer series

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