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A block of pure silicon at 300 K has a length 0 . t m and area of $1 \cdot 0 \times 10^{- 4} m^{2}$ if a battery of emf z y is connected across it, what is the electron current ? The mobility of electrons is $0 \cdot 14 m^{2} V^{- 1} s^{- 1}$ and their number density is $1 \cdot 5 \times 10^{16} m^{- 3}$

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$6 \cdot 72 \times 10^{- 7} A$

$6 \cdot 72 \times 10^{- 8} A$

$6 \cdot 72 \times 10^{- 9} A$

$6 \cdot 72 \times 10^{- 10} A$

answer is A.

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Detailed Solution

The electric field in block, $E = V / l$
$E = \frac{2}{0 \cdot 1} = 20 V / m and I_{e} = n_{e} {Aev}_{e} = (1 \cdot 5 \times 10^{16}) (1 \cdot 0 \times 10^{- 4}) (1 \cdot 6 \times 10^{- 19}) (2 \cdot 8) = 6 \cdot 72 \times 10^{- 7} A$

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