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NEET Sample Paper NEET Sample Test Paper-42

  • question_answer
    Charge passes through a conductor of cross section area \[\operatorname{A} = 0.3 {{m}^{2}}\]is given by \[\operatorname{q} = 3{{t}^{2}} + 5t\]\[+2\]in coulomb, where t is in second. What is the value of drift velocity at \[\operatorname{t}= 2 sec \]\[\left( given, n=2\times 1025/{{m}^{2}} \right)\]

    A) \[0.77\times 1{{0}^{-5}}m/s\]  

    B) \[1.77\times 1{{0}^{-5}}m/s\]

    C) \[2.08\times 1{{0}^{-5}}m/s\]   

    D) \[0.55\times 1{{0}^{-5}}m/s\]

    Correct Answer: B

    Solution :

    \[\operatorname{A}=0.3{{m}^{2}},n=2\times 1{{0}^{25}}{{m}^{-2}}\] \[\operatorname{q}=3{{t}^{2}}+5t+2\] \[\frac{dq}{dr}=i=6t+5\] \[\left( t=2s \right)=6\times 2+5=17A\] \[\operatorname{i}=neA{{v}_{\operatorname{d}}}\] \[{{\operatorname{v}}_{d}}=\frac{17}{2\times 1{{0}^{25}}\times 1.6\times 1{{0}^{-19}}\times 0.3}\] \[{{\operatorname{v}}_{d}}=1.77\times {{10}^{-5}}m/s\]


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