Question

Which of the following statements is a consequence of the equation E = mc2?

Answer 1

Answer;

B. Mass and energy are equivalent.

Explanation;

-Each of the letters of E = mc2 stands for a particular physical quantity.

E is the energy, m is the mass and c is the speed of light (m/s)

 Energy = mass x the speed of light squared

-The equation E=mc2 explains nuclear fusion, how matter can be destroyed and converted to energy and energy can be converted back to mass. It explains the atomic energy produced by nuclear power plants and the atomic energy released by atomic bombs.

-The equation tells us that mass and energy are related, and, in those rare instances where mass is converted totally into energy, how much energy that will be.

Answer 2

The option (D) is correct .i.e. all of the above.

Further Explanation:

Option (A) is correct: Energy is released when mass is destroyed. We will understand it by an example of combustion of a particular type of hydrocarbon (say wood), it contains mostly carbon and hydrogen and by burning in presence of oxygen it gives off carbon dioxide and water and some significant amount of heat energy. This heat energy is not released due to mass destroy.

In fact, there’s no detriment of mass from  when we do calculations of chemistry. Here, the heat energy is only released due to the breaking of bonds of the reactants. Therefore, all of this sounds good according to chemistry stuffs or according to the ‘law of chemical combinations’ in chemistry. But, here is the point that we always ignore in chemical calculations .i.e. a very tiny amount of mass of reactants in a chemical reaction is destroyed which is insignificant in such calculations of  energy liberating in a chemical reaction where only  of the fraction of lost mass which is actually destroying and getting converted into pure energy.

Option (B) is correct: Mass and energy are equivalent. According to the Einstein’s mass energy equivalence .i.e. . Energy and mass are Inter-convertible (.i.e. mass can be converted to energy and vice-versa.). There are many examples of the same. Some of them are as follows:

(1). In nuclear reactions, the mass of the products is less than that of the reactants. The lost mass is converted into its equivalent amount of energy which is given by $\boxed{E=mc^2}$.

(2). There is also examples in which $energy\rightarrow mass$. These include experiments in particle accelerators, such as the LHC (Large Hadron Collider).

Option (C) is correct: The law of conservation of the energy must be modified such that the mass and energy are conserved in any process. There were two different laws namely; the law of conservation of mass which stated that mass can neither be created nor destroyed and also the total amount of mass remains same in a chemical reaction. And another was the law of conservation of energy which then called as the first law of thermodynamics and stated the same for energy.

Then came the greatest of the greats, Sir Albert Einstein with his famous equation $\boxed{E=mc^2}$ and proved that the energy and the mass are the two faces of the same coin .i.e. they are Inter-convertible into each other and due to which we have nuclear weapons today as an experimental example. So yes, the law of conservation of energy must be modified to state that mass and energy are conserved in any process or the total amount of mass and energy in the universe is constant.

Thus,  the option (D) is correct .i.e. all of the above.

Learn more:

1.  A na+ ion moves from inside a cell, where the electric potential is -70 mv brainly.com/question/9251988

2.  What is the kinetic energy of the emitted electrons when cesium is exposed to uv rays brainly.com/question/9059731

3. The results of rutherford's gold foil experiment demonstrated brainly.com/question/1542931

Answer Details:

Grade: high school

Subject: Physics

Chapter: modern physics

Keywords:

Energy, mass, conservation, laws, law of conservation of mass, law of conservation of energy, law of conservation of mass-energy, first law of thermodynamics, Sir Albert Einstein, E=mc^2, conserved, energy-mass equivalence.