How much kinetic energy will an electron gain (in joules) if it accelerates through a potential difference of 2.32×104 V ?How much kinetic energy will an electron gain (in joules) if it accelerates through a potential difference of 2.32×104 V ?

Respuesta :

Answer:

[tex]\Delta KE=3.71\times 10^{-15}\ J[/tex]

Explanation:

It is given that,

Potential difference, [tex]PE=2.32\times 10^4\ V[/tex]

Using the conservation of energy as the potential energy lost by an electron gets converted to the kinetic energy gained by it. Its relation is given by :

[tex]\Delta KE=\Delta PE[/tex]

Since, [tex]\Delta PE=q\Delta V[/tex]

[tex]\Delta KE=q\Delta V[/tex]

[tex]\Delta KE=1.6\times 10^{-19}\times 2.32\times 10^4\ V[/tex]

[tex]\Delta KE=3.71\times 10^{-15}\ J[/tex]

So, the kinetic energy gained by the electron is [tex]3.71\times 10^{-15}\ J[/tex]

Answer:

3.712 x 10^-15 J

Explanation:

Potential difference, V = 2.32 x 10^4 V

Charge of electron, e = 1.6 x 10^-19 J

The kinetic energy of the electron is

K = e x V

K = 1.6 x 10^-19 x 2.32 x 10^4 J

K = 3.712 x 10^-15 J

Thus, the kinetic energy of the electron is 3.712 x 10^-15 J.