# De Broglie wavelength associated with a particle having kinetic

Prove that the De Broglie wavelength associated with a particle having kinetic energy K which is not negligible compared to its rest energy m_0 c^2 is given by

lemda = [h/(m_0 K)^(1/2)](1 + K/2m_0 c^2)^(-1/2)

The complete solution is in the attached file.

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#### Solution Preview

The solution is in the attached file.

Quantum Theory (2)

By:- Thokchom Sarojkumar Sinha

Prove that the De Broglie wavelength associated with a particle having kinetic energy K which is not negligible

compared to its rest energy is given by

Solution:- The relation between the kinetic energy K of a particle and its total relativistic energy

is ...

#### Solution Summary

It proves that De Broglie wavelength associated with a particle

having kinetic energy K which is not negligible compared to its

rest energy m_0 c^2 is equal to

lemda = [h/(m_0 K)^(1/2)](1 + K/2m_0 c^2)^(-1/2) .

The solution is given in detail.

This is mainly for showing the relation between the De Broglie wavelength

and kinetic energy of a particle.