Question

Calculate the percent increase in mass of an electron accelerated by a potential difference of 500kv?

Answer 1

Question incorrect please correct it

Answer 2

Answer:

0.01 %

Explanation:

According to the given question,

We have been provided that the electron is accelerated by the potential difference of 500 kv = 5000 v

As (1000 v = 1 kv)

Now,

We know that the charge of an electron = 1.6 x 10⁻¹⁹C

Therefore,

The energy gained by the electron is =  5000 x 1.6 x 10⁻¹⁹Joule

Now,

Using mass energy equivalent theorem,

The mass increase in electron is given by,

$=\frac{Energy\ gained}{c^{2}}$

Where,

c = speed of light = 3 x 10⁸ m/s

Now,

$=\frac{5000\times 1.6\times 10^{-19}}{(3\times 10^{8})^{2}}$

      = 8.9 × 10⁻³³ kg

As we know that the mass of the electron is 9.1 × 10⁻³¹ kg

Therefore,

We can conclude that the mass of the electron is increased for gaining energy is 1/100 of the original mass.

Hence, the percent increase in mass of an electron accelerated by a potential difference of 500 kv = 0.01 %