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A gamma-ray of 3.43 MeV energy undergoes pair production. The electron and positron formed move with equal kinetic energy in opposite direction to each other. The kinetic energy of the positron is nearly :

  • A.0.511 MeV
  • B.1.022 MeV
  • C.1.20 MeV
  • D.1.40 MeV

Answer: C

The positron's kinetic energy is nearly 1.20 MeV.

Creating the pair uses \(2m_{e}c^{2} = 1.022\) MeV; the rest is shared equally as kinetic energy:

\[ \begin{aligned} K &= \frac{3.43 - 1.022}{2} \\ &= \frac{2.408}{2} \approx 1.20\ \text{MeV} \end{aligned} \]

The option 1.022 MeV is the threshold energy itself, and 0.511 MeV is the rest energy of one particle; neither is a kinetic energy here.

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