J & K CET Medical J & K - CET Medical Solved Paper-2002

  • question_answer
    What is the acceleration of an electric field of magnitude \[50\text{ }V-c{{m}^{-1}}\]? [Given that\[\frac{e}{m}\] \[=\text{ }1.76\text{ }x\text{ }{{10}^{11}}C-k{{g}^{-1}}\]]

    A)  \[8.8\times {{10}^{16}}m/{{s}^{2}}\]                                 

    B)  \[8.8\times {{10}^{14}}m/{{s}^{2}}\]

    C)  \[8.8\text{ }m/{{s}^{2}}\]                                         

    D)  \[8.8\times {{10}^{20}}m/{{s}^{2}}\]

    Correct Answer: D

    Solution :

                     The force experienced by an electron (e) in an electric field\[(E)\]is\[F=eE,\]and its acceleration is. \[a=\frac{F}{m}=\frac{eE}{m}\] Given,    \[\frac{e}{m}=1.76\times {{10}^{11}}C-k{{g}^{-1}},\] \[E=50\times {{10}^{2}}V/m\] \[a=50\times {{10}^{2}}\times 1.76\times {{10}^{11}}\] \[\Rightarrow \]               \[a=8.8\times {{10}^{14}}m/{{s}^{2}}\]


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