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CUET · PHYSICS · PYQ PAPER 2025

In a cyclotron, if a deutron can gain an energy of 40 MeV, then a proton can gain an energy of

  1. A 20 MeV
  2. B 40 MeV
  3. C 60 MeV
  4. D 80 MeV
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Answer & Solution

Correct Answer

(D) 80 MeV

Step-by-step Solution

Detailed explanation

\(K \propto \frac{q^2}{m}\) \(\frac{K_p}{K_d} = \frac{q_p^2/m_p}{q_d^2/m_d}\) \(\frac{K_p}{40 \text{ MeV}} = \frac{e^2/m_p}{e^2/(2m_p)}\) \(\frac{K_p}{40 \text{ MeV}} = 2\) \(K_p = 80 \text{ MeV}\)
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