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If the Compton wavelength of a particles is equal to the De-Broglie wavelength. Find the total energy of the particles.
Asked by sahupramod650 | 03 Mar, 2020, 12:51: PM
Expert Answer
Compton wavelength λC of a particle of mass m is given as, λC = h/(mc) ................(1)
where h is planck's constant and c is speed of light
de-Broglie wavelength λd of a particle of mas m is given as, λd = h/p ...............(2)
where p is momentum of particle. We need to use relativistic formula for momentum in eqn.(2)
hence , we get, de-Broglie wavelength λd as, ......................(3)
If compton wavelength and de-Broglie wavelength are equal, then by comparing eqn.(1) and eqn.(3),
we get speed of particle u = ( c /√2 ) m/s
Total energy of relativstic particle ,
Answered by Thiyagarajan K | 03 Mar, 2020, 03:21: PM
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