The Neutron Star Scanner · AI Generator #GEN-8E70BBB3

Physics · modern-physics

Problem

A newly developed neutron detector uses the de Broglie wave properties of thermal neutrons to create interference patterns for imaging dense stellar objects. The detector operates by analyzing neutrons that have been thermalized to room temperature (T=300  KT = 300\;\text{K}) after escaping from a neutron star's atmosphere. If these thermal neutrons have a kinetic energy equal to 32kBT\frac{3}{2}k_B T (where kB=1.38×10−23  J/Kk_B = 1.38 \times 10^{-23}\;\text{J/K} is Boltzmann's constant), what is the de Broglie wavelength of these neutrons? The mass of a neutron is mn=1.67×10−27  kgm_n = 1.67 \times 10^{-27}\;\text{kg}.

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