JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Critical Thinking

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    A 1mA beam of protons with a cross-sectional area of 0.5 sq. mm is moving with a velocity of \[3\times {{10}^{4}}m{{s}^{-1}}\]. Then charge density of beam is                                 [CPMT 2002]

    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 :

                       For one second, distance = Velocity =\[3\times {{10}^{4}}m/\sec \] and \[Q=i\times 1={{10}^{-6}}C\]. Charge density\[=\frac{\text{Charge}}{\text{Volume}}\]                    \[=\frac{{{10}^{-6}}}{3\times {{10}^{4}}\times 0.5\times {{10}^{-6}}}=6.6\times {{10}^{-5}}C/{{m}^{3}}\].


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