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Q.

The de-Broglie wavelength of a photon is twice, the de-Broglie wavelength of an electron. The speed of the electron is ve=c100Then,

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a

EeEp=104

b

EeEp=102

c

pemec=102

d

Pemec=104

answer is B, C.

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Detailed Solution

Suppose, Mass of electron=me,  Mass of photon=mp,  
Velocity of electron=ve  and velocity of photon=vp  Thus, for electron, de-Broglie wavelength

             λe=hmeve     =hme(c/100)=100hmec (given)                           (i)

Kinetic energy,   Ee=12meve2

      meve=2Eeme so,           λe=hmeve=h2meEe                 Ee=h22λe2me                                                                (ii)

For photon of wavelength λp, energy

            Ep=hcλp=hc2λe                                               λp=2λe]  EpEe=hc2λe×2λe2meh2                 =λemech=100hmec×mech=100

so,                     EeEp=1100=102 For electron,     pe=meve=me×c/100                    pemec=1100=102

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