Question

Define atomic mass unit and Electron Volt. Derive the relation between them.

Answer 1

A neutron has a slightly larger massthan the proton. These are often given in terms of an atomic mass unit, where one atomic mass unit (u) is defined as 1/12th the mass of a carbon-12 atom. ... The binding energy in the carbon-12atom is therefore 0.098931 u * 931.5 MeV/u = 92.15 MeV.

Answer 2

Explanation:

• Atomic mass unit if used to describe the mass of an element. It is equal to (1/12)th the mass of carbon atom.
• One electron volt is defined as the amount of kinetic energy gained by an electron accelerating from rest through an electric potential difference of one volt.
• The relation between amu and eV is as follows :

Since,

$1\ amu=1.67\times 10^{-27}\ eV$

We know that,

Energy, $E=mc^2$

$E=1.67\times 10^{-27}\times (3\times 10^8)^2\\E=1.50\times 10^{-10}\ J$

or

$E=\dfrac{1.67\times10^{-27}\times(3\times10^{8})^{2}}{1.6\cdot10^{-19}}\\\\E=9.39\times 10^8\ eV$

Hence, this is the required solution.

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Relation between atomic mass unit and electron volt

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