When an electron is accelerated through a high potential difference (*V*), then the mass of electron varies with its velocity. Hence, we have to consider its relativistic mass. Hence, we calculate its relativistic wavelength and total energy in the following way.

**(a) Relativistic wavelength is calculated as follows:**

The momentum of an electron is:

Divide Equation (4.8) by *m*_{0}*c*, then:

Add and subtract 1 to the numerator,

Squaring and rearranging Equation (4.9),

The kinetic energy (*E*) of an electron is given by: ...

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