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Wave Optics

Question
CBSEENPH12039112

An electron and a photon each have a wavelength 1.00 nm. Find

(i) their momenta,

(ii) the energy of the photon and

(iii) the kinetic energy of electron.

Solution

Given, wavelength,lambda space equals space 1 space n m space equals space 1 cross times 10 to the power of negative 9 space end exponent m
i) Momenta of electron = momenta of photon.
Therefore,
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ii) Energy of photon, E = h nu space equals space h c over lambda equals h over lambda c space equals space p c
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iii) Kinetic energy of electron, straight E subscript straight k space equals 1 half m subscript e v squared space equals fraction numerator p squared over denominator 2 m subscript e end fraction
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