RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    The beam of 1 \[\mu \]A of proton whose cross-section area is\[0.5\text{ }m{{m}^{2}}\]and velocity is\[3\times {{10}^{4}}m/s,\]then charge density of beam

    A)  \[6.6\,\times \,{{10}^{-4}}C/{{m}^{3}}\]

    B)  \[6.6\,\times \,{{10}^{-5}}C/{{m}^{3}}\]

    C)  \[6.6\,\times \,{{10}^{-6}}C/{{m}^{3}}\]

    D)  None of these

    Correct Answer: B

    Solution :

     In 1 s, the distance cover by beam of proton = velocity \[=3\times {{10}^{4}}m/s\] Charge,    \[q={{10}^{-6}}C\] Charge density \[=\frac{Charge}{Volume}\] \[=\frac{Q}{Av}\] \[=\frac{{{10}^{-6}}}{3\times {{10}^{4}}\times 0.5\times {{10}^{-6}}}\] \[=6.6\times {{10}^{-5}}C/{{m}^{3}}\]


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