JEE Main & Advanced Sample Paper JEE Main Sample Paper-13

  • question_answer
    A block of pure silicon at 300 K has a length of 10 cm and an area of\[1.0\times {{10}^{-4}}\,{{m}^{2}}\]. If a battery of \[emf\] 2 V is connected across it, what is the electron-current? The mobility of electrons is \[0.14{{m}^{2}}{{V}^{-1}}{{s}^{-1}}\] and their number density is\[1.5\times {{10}^{16}}{{m}^{-3}}\].

    A)  \[6.72\times {{10}^{-4}}A\]                        

    B)  \[6.72\times {{10}^{-5}}A\]

    C)  \[6.72\times {{10}^{-6}}A\]                        

    D)  \[6.72\times {{10}^{-7}}A\]

    Correct Answer: D

    Solution :

     Given, \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,H-C{{H}_{2}}-OH\] \[C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  C{{H}_{3}} \end{smallmatrix}}{\overset{\begin{smallmatrix}  C{{H}_{3}} \\  | \end{smallmatrix}}{\mathop{C}}}\,-OH\] \[C{{H}_{3}}-C{{H}_{2}}-O-C{{H}_{3}}\] \[C{{H}_{3}}-C{{H}_{2}}-O-C{{H}_{2}}-C{{H}_{3}}\] and \[\underset{n=5/3}{\mathop{3{{I}_{2}}}}\,\xrightarrow{\,}\underset{n=5}{\mathop{IO_{3}^{-}}}\,+\underset{n=1}{\mathop{5{{I}^{-}}}}\,\] volts. The electric field in the block is V = 2 volts. The electric field in the block is \[\therefore \] The drift speed of electrons is \[Eq.\,\,wt\,\,of\,{{I}_{2}}=\frac{254}{5/3}=152.4\] \[-I\] Electron - current  \[-I\] \[-N{{O}_{2}}>-Cl>-OC{{H}_{3}}\] \[{{r}_{n}}={{r}_{0}}\times \frac{{{n}^{2}}}{z}\]


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