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Q.

An electron and a photon have same de Broglie wavelength (say 1 Å). Which one possesses more kinetic energy?

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a

Doesn't depend on the wavelength

b

Proton

c

Electron

d

Both have the same Kinetic energy

answer is B.

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Detailed Solution

Kinetic energy of electron is  Ee=12mv2=12(mv)2m=p22m=h22mλ2   p=hλ

Energy of a photon is given by  Ep=hν=hcλ

EpEe=hcλ·2mλ2h2=2mcλh=2×9.11×10-31×3×108×1×10-106.63×10-34=82.44

Thus, the KE of a photon is greater than that of an electron of same wavelength.

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