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  4. A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy:

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Q. A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy:

Dual Nature of Radiation and Matter

Solution:

As $\lambda=\frac{ h }{\sqrt{2 mE }}$
$ \therefore E =\frac{ h ^{2}}{2 m \lambda^{2}}$
$\Rightarrow \lambda$ is same for all so,
$\therefore E \propto \frac{1}{ m }$
Hence energy will be maximum for particle with lesser mass.