Question
What is de-Broglie wave? Write an expression for its wavelength.
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Answer
de-Broglie Wavelength : The wave associated with the particle in motion with high speed is called deBroglie wave. The wavelength of this wave is called deBroglie wavelength.
Expression for de-Broglie wavelength :
$ \lambda=\frac{h}{p}; $ or $ \lambda=\frac{h}{mv} $ or $ \lambda=\frac{h}{\sqrt{2mK}} $ or $ \lambda=\frac{h}{\sqrt{2mqV}} $
where = $h$ Planck's constant and $p$ linear momentum of the particle in motion.
$m$ = mass of the particle,
$v$ = speed of the particle,
K = kinetic energy of the particle.
If the particle is charged having charge $q$, and the kinetic energy K is obtained by it when it is accelerated through potential difference V, then K = qV.
Expression for de-Broglie wavelength :
$ \lambda=\frac{h}{p}; $ or $ \lambda=\frac{h}{mv} $ or $ \lambda=\frac{h}{\sqrt{2mK}} $ or $ \lambda=\frac{h}{\sqrt{2mqV}} $
where = $h$ Planck's constant and $p$ linear momentum of the particle in motion.
$m$ = mass of the particle,
$v$ = speed of the particle,
K = kinetic energy of the particle.
If the particle is charged having charge $q$, and the kinetic energy K is obtained by it when it is accelerated through potential difference V, then K = qV.
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