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Special relativity (A-level only)

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Question 2

A deuteron (a deuterium nucleus of rest mass md=3.34×10−27 kgm_{\text{d}} = 3.34 \times 10^{-27} \text{ kg}md​=3.34×10−27 kg) is accelerated in a relativistic heavy-ion collider to a total energy of 5.2 GeV5.2 \text{ GeV}5.2 GeV (5.2×109 eV5.2 \times 10^9 \text{ eV}5.2×109 eV).

Calculate the velocity of this deuteron as a fraction of the speed of light ccc. Give your answer to 2 decimal places.

Values for this question:

  • Speed of light, c=3.00×108 m s−1c = 3.00 \times 10^8 \text{ m s}^{-1}c=3.00×108 m s−1
  • Elementary charge, e=1.60×10−19 Ce = 1.60 \times 10^{-19} \text{ C}e=1.60×10−19 C
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Special relativity (A-level only) Questions

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