Question

A proton is found to be having a mass $1.67\times {{10}^{-27}}kg$ and have a charge $+1.6\times {{10}^{-19}}C$. Let us assume that the proton is being accelerated through a potential difference of one million volts. Then what will be the kinetic energy of this proton.
$\begin{align}
  & A.1.6\times {{10}^{-15}}J \\
 & B.1.6\times {{10}^{-13}}J \\
 & C.1.6\times {{10}^{-21}}J \\
 & D.3.2\times {{10}^{-13}}J \\
\end{align}$

Answer 1

Hint: The kinetic energy of the proton can be found by taking the product of the charge of the proton and the potential difference at this point. Substitute the values in this equation which has been already mentioned in the question. This will help you in answering this question.

Complete answer:
The kinetic energy of the proton can be found by taking the product of the charge of the proton and the potential difference at this point. This can be expressed in the format of an equation written as,
$KE=qV$
Where $q$ be the charge of the proton which has been mentioned in the question as,
$q=+1.6\times {{10}^{-19}}C$
The potential difference can be mentioned as,
$V={{10}^{6}}V$
Substituting the values in this equation can be written as,
$KE=1.6\times {{10}^{-19}}\times {{10}^{6}}=1.6\times {{10}^{-13}}J$
Therefore the kinetic energy of the proton has been calculated.

The correct answer has been mentioned in the option as option B.

Note:
Kinetic energy is basically defined as the energy possessed by a particle when it is in a motion. The kinetic energy can be expressed in the units of joule. It can be generally found by taking the half of the product of the mass and square the velocity of the particle. If the particle is a charged atom or molecule, then the kinetic energy will be the product of the charge of the particle and the potential. Potential energy is another kind of energy possessed by a particle due to its orientation and arrangement in space.