O'Reilly logo

Engineering Physics by S. Mani Naidu

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4.2 Relativistic correction

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:

images

Divide Equation (4.8) by m0c, then:

images

Add and subtract 1 to the numerator,

Squaring and rearranging Equation (4.9),

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

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required