JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Cathode Rays and Positive Rays

  • question_answer
    In an electron gun, the electrons are accelerated by the potential V.  If e is the charge and m is the mass of an electron, then the maximum velocity of these electrons will be                    [MP PMT 1987, 96; BHU 1995; MNR 1998]

    A)            \[\frac{2eV}{m}\]              

    B)            \[\sqrt{\frac{2eV}{m}}\]

    C)            \[\sqrt{\frac{2m}{eV}}\] 

    D)            \[\frac{{{V}^{2}}}{2em}\]

    Correct Answer: B

    Solution :

               \[eV=\frac{1}{2}m{{v}^{2}}\Rightarrow {{v}^{2}}=\frac{2eV}{m}\Rightarrow v=\sqrt{\frac{2eV}{m}}\]


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