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O u Sing E=(pc)* +(mc?): For waves, Show that 2. de Breene 2. (a) the group of veroeity is equất to c% oceity quat where Vph is the phosě velGcitye. (b) the plhase veloeity is erdter thân C. than C.

O u Sing E=(pc)* +(mc?): For waves, Show that 2. de Breene 2. (a) the group of veroeity is equất to c% oceity quat where Vph is the phosě velGcitye. (b) the plhase veloeity is erdter thân C. than C.

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O uSing E =(pc)* +(mc?): For waves, Show tất de Breglie (a) the group of veloeity is where V is the phoJE veOCity. equât to che 6) the phose velocity is grater thân C.
Transcribed Image Text:O uSing E =(pc)* +(mc?): For waves, Show tất de Breglie (a) the group of veloeity is where V is the phoJE veOCity. equât to che 6) the phose velocity is grater thân C.
Expert Solution
Step 1

The given equation that is to be used is 

E2=pc2+mc22p=momentum of the particlem=rest mass  of the particleE=total energy of the particle.E=kientic energy+rest mass energy   =p2c2+m2c4So mechanically from relativistic point of view, E=mc21-v2c2=γmc2       (1)where γ=11-v2c2Quantum mechanically,E=hf          (2)h=Planck's constantf=frequency of the particle

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