Practice portal › Dual Nature of Matter and Radiation › Comparing de Broglie Wavelengths of Particles
Asked in GUJCET 2007 · Equal wavelengths and equal speeds
Given: all four move with the same velocity v.
Idea: λ = h/(mv), so at equal v the wavelength is inversely proportional to the mass.
A β-particle is a fast electron, mass 9.1×10⁻³¹ kg, the lightest of the four.
The proton and neutron are about 1836 and 1839 times heavier than it, and the α-particle about 7300 times.
So the β-particle has the longest de Broglie wavelength.
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