(Solution) - A beam of neutrons is used to study molecular structure -(2025 Original AI-Free Solution)

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A beam of neutrons is used to study molecular structure through a series of diffraction experiments. A beam of neutrons with a wide range of de Broglie wavelengths comes from the core of a nuclear reactor. In a time-of-flight technique, used to select neutrons with a small range of de Broglie wavelengths, a pulse of neutrons is allowed to escape from the reactor by opening a shutter very briefly. At a distance of 16.4 m downstream, a second shutter is opened very briefly 13.0 ms after the first shutter.
(a) What is the speed of the neutrons selected?
(b) What is the de Broglie wavelength of the neutrons?
(c) If each shutter is open for 0.45 ms, estimate the range of de Broglie wavelengths selected.