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

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

A

Is the photon

B

Is the electron

C

Is the uranium nucleus

D

Depends upon the wavelength and the properties of the particle.

Answer

Is the photon

Explanation

Solution

λ=hmv=h2mE:\lambda = \frac{h}{mv} = \frac{h}{\sqrt{2mE}}: 6muE=h22mλ2\therefore\mspace{6mu} E = \frac{h^{2}}{2m\lambda^{2}}

λ\lambda is same for all, so E1mE \propto \frac{1}{m}. Hence energy will be maximum for particle with lesser mass.