The de Broglie wavelengths for an electron and a photon are $\lambda$e and $\lambda$p respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie wavelengths of two ?

Question

The de Broglie wavelengths for an electron and a photon are $\lambda$_e and $\lambda$_p respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie wavelengths of two ?

${\lambda _p} \propto \lambda _e^2$

${\lambda _p} \propto {\lambda _e}$

${\lambda _p} \propto \sqrt {{\lambda _e}} $

${\lambda _p} \propto \sqrt {{1 \over {{\lambda _e}}}} $

Solution

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