Derive the formula for wavelength in terms of accelerating potential V from de Broglie hypothesis.
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12th
Physics
Dual Nature of Radiation and Matter
Wave Nature of Matter
Write de Broglie hypothesis...
PHYSICS
Write de Broglie hypothesis. Obtain the formula for de Broglie wavelength of an electron which is accelerated from rest through a potential V volt.
October 15, 2019avatar
Jaitashree Sagani
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The de Broglie wavelength is the wavelength, λ, associated with a massive particle and is related to its momentum, p, through the Planck constant, h: λ=
p
h
For an electron accelerated by potential V,
qV=
2m
p
2
⟹p=
2mqV
Hence λ=
2mqV
h
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