The de-Broglie wavelength of an electron is the same as that of a 50 keV X-ray photon. The ratio of the energy of the photon to the kinetic energy of the electron is (the energy equivalent of electron mass is 0.5 MeV)
1 : 50
1 : 20
20 : 1
50 : 1
Consider two particles of different masses. In which of the following situations the heavier of the two particles will have smaller de-Broglie wavelength ?
Both have a free fall through the same height
Both move with the same kinetic energy
Both move with the same linear momentum
Both move with the same speed
A.
Both have a free fall through the same height
B.
Both move with the same kinetic energy
D.
Both move with the same speed
The de-Broglie equation is
Thus, in present case the de-Broglie wavelength of heavier particle will be smaller. When the velocities of two particles will be same or both move with same kinetic energy(K).