Question:

A deuteron of kinetic energy 50keV is describing a circular orbit of radius 0.5m in a plane perpendicular to the magnetic field B. The kinetic energy of the proton that describes a circular orbit of radius 0.5m in the same plane with the same B is:

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For same radius in magnetic field: K ∝ (1)/(m).
Updated On: Mar 20, 2026
  • \(25\,\text{keV}\)
  • \(50\,\text{keV}\)
  • \(100\,\text{keV}\)
  • 200keV
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The Correct Option is C

Solution and Explanation


Step 1:
Radius of circular motion: r = (mv)/(qB)
Step 2:
For same r and B: √(mK) = constant
Step 3:
Since md = 2mp: Kp = 2Kd = 100keV
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