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

  • question_answer
    In a Thomson set-up for the determination of e/m, electrons accelerated by 2.5 \[kV\] enter the region of crossed electric and magnetic fields of strengths \[3.6\times {{10}^{4}}V{{m}^{-1}}\] and \[1.2\times {{10}^{-3}}T\] respectively and go through undeflected. The measured value of \[e/m\] of the electron is equal to                 [AMU 2002]

    A)            \[1.0\times {{10}^{11}}C\text{-}k{{g}^{-1}}\]             

    B)            \[1.76\times {{10}^{11}}C\text{-}k{{g}^{-1}}\]

    C)            \[1.80\times {{10}^{11}}C\text{-}k{{g}^{-1}}\]          

    D)            \[1.85\times {{10}^{11}}C\text{-}k{{g}^{-1}}\]

    Correct Answer: C

    Solution :

                       \[\frac{e}{m}=\frac{{{E}^{2}}}{2V{{B}^{2}}}=\frac{{{(3.6\times {{10}^{4}})}^{2}}}{2\times 2.5\times {{10}^{3}}\times {{(1.2\times {{10}^{-3}})}^{2}}}\]            \[=1.8\times {{10}^{11}}C/kg\].


You need to login to perform this action.
You will be redirected in 3 sec spinner