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

  • question_answer
    An electron is accelerated through a potential difference of 1000 volts. Its velocity is nearly [MP PMT 1985; Pb. PET 2003]

    A)            \[\frac{{{\nu }_{1}}-{{\nu }_{2}}}{k-1}\]                       

    B)            \[1.9\times {{10}^{6}}m/s\]

    C)            \[1.9\times {{10}^{7}}m/s\]  

    D)            \[2\sqrt{2}V\]

    Correct Answer: C

    Solution :

                       If the voltage given is V, then the energy of electron                    \[\frac{1}{2}m{{v}^{2}}=eV\Rightarrow v=\sqrt{\frac{2eV}{m}}\]            \[=\sqrt{\frac{2\times 1.6\times {{10}^{-19}}\times 1000}{9.1\times {{10}^{-31}}}}=1.875\times {{10}^{7}}\]\[\approx 1.9\times {{10}^{7}}m/s\]


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