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Work done in accelerating a proton

The mass of a proton is 1840 times that of an electron. it is accelerated to a potential difference of 1kV. find the amount of work done in process. (Ujjwal Sharma asked)

Answer

The work done = the KE acquired = eV=1.6 x 10-19 x 1000 = 1.6 x 10-16 J

Mass Energy conversion and the Big Bang

Ajesh Asked:

Respected sir, in the famous theory of Albert Einstein which is of mass energy equivalence  he stated a formula E = mc2 .
sir does this mean that mass can be converted in to energy or the opposite will happen .
it is even stated in the big bang theory  that the universe was created with respect to the  above theory is that so?

 

Answer:

The mass energy conversion and the equivalence is a widely discussed topic in relation to the creation of the universe or the Big Bang.

There is some energy missing in calculation when we consider the equivalence; this is called dark energy.

Please read the following links for more details.

http://csep10.phys.utk.edu/astr162/lect/cosmology/hotbb.html

http://www.big-bang-theory.com/

http://ssscott.tripod.com/BigBang.html

Big Bang and the conservation of Mass

Harilal asked:

“During the big bang it is supposed that the small particles expanded in a very very small interval of time and there was nothing before that. If it is so, then how can it in be good agreement with law of conservation of mass?”

Ans:

After the Big Bang, the universe expanded rapidly. The big bang theory is not a theory which is completely resolved. There are many questions to be answered.

Further, mass alone is not conserved, it is mass+energy  which is conserved.

Energy can be converted into matter and vice versa. (E=mc^{2})

Dark Energy and Dark Matter are two widely discussed concepts in association with the Big Bang. These correspond to the mass (matter) and energy which we cannot account for by calculations and theory.

Further, BIGBANG is not the only possible cause of the Birth of Universe. There are many other possibilities.

Big Bang theory originated after the discovery that the universe is expanding. SO if we think in reverse direction, we can imagine that the entire universe was confined to an infinitesimally small (Compared to the present size of the universe) space. This idea started the theoritization of the Big Bang.

Please visit the following links for further reference:

http://www.aip.org/history/cosmology/ideas/bigbang.htm

http://www.aip.org/history/cosmology/ideas/journey.htm

http://en.wikipedia.org/wiki/Big_Bang

http://www.aip.org/history/cosmology/ideas/expanding.htm

 

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