NEET Sample Paper NEET Sample Test Paper-52

  • question_answer
    In a cyclotron, if a deuteron can gain an energy of 40 MeV, then a proton can gain an energy of

    A) 40 MeV                        

    B) 80 MeV

    C) 20 MeV                        

    D) 60 MeV

    Correct Answer: B

    Solution :

    \[R\,\,=\,\,\frac{\sqrt{2mK}}{qB}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\because \,\,\,{{R}_{d}}\,=\,{{R}_{p}}\] \[\therefore \,\,\frac{2{{m}_{d}}{{K}_{d}}}{{{q}_{d}}B}\,\,=\,\,\frac{\sqrt{2{{m}_{p}}{{K}_{p}}}}{{{q}_{p}}B}\] \[or\,\,\,\,\frac{\sqrt{2(2{{m}_{p}}){{K}_{d}}}}{eB}\,\,=\,\,\frac{\sqrt{2{{m}_{p}}{{K}_{p}}}}{eB}\] \[\therefore \,\,\text{ }{{K}_{p}}=2{{K}_{d}}\,\text{=}\,2\times 40\text{ }MeV\,\,=\,\,80\text{ }MeV\]


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