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Problem

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question

One of the most powerful modern techniques for studying structure is neutron diffraction. This technique involves generating a collimated beam of neutrons at a particular temperature from a high-energy neutron source and is accomplished at several accelerator facilities around the world. If the speed of a neutron is given by vn=(3kBT/m)1/2v_{\mathrm{n}}=\left(3 k_{\mathrm{B}} T / m\right)^{1 / 2}, where mm is the mass of a neutron, then what temperature is needed so that the neutrons have a de Broglie wavelength of 50pm50 \mathrm{pm} ?
Plain-text mathematical notation (without MathML)
One of the most powerful modern techniques for studying structure is neutron diffraction. This technique involves generating a collimated beam of neutrons at a particular temperature from a high-energy neutron source and is accomplished at several accelerator facilities around the world. If the speed of a neutron is given by v_(n)=(3k_(B)T/m)^(1/2), where m is the mass of a neutron, then what temperature is needed so that the neutrons have a de Broglie wavelength of 50pm ?
Original LaTeX notation
One of the most powerful modern techniques for studying structure is neutron diffraction. This technique involves generating a collimated beam of neutrons at a particular temperature from a high-energy neutron source and is accomplished at several accelerator facilities around the world. If the speed of a neutron is given by $v_{\mathrm{n}}=\left(3 k_{\mathrm{B}} T / m\right)^{1 / 2}$, where $m$ is the mass of a neutron, then what temperature is needed so that the neutrons have a de Broglie wavelength of $50 \mathrm{pm}$ ?

category

chemistry

options

  1. 2000$\mathrm{K}$
  2. 1500 K
  3. 5000 K
  4. 4500 K
  5. 3500$\mathrm{K}$
  6. 1000 K
  7. 2500$\mathrm{K}$
  8. 4000 K
  9. 3000$\mathrm{K}$
  10. 600 K

src

scibench-chemmc

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Source and history

upstream_id / Original problem ID
3999
task_id
74f85e25-d5a0-5b32-af07-95224d819138
task_key
default--test--3999
task_revision_id
1
config / split
default / test

Official source

initial import