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A block of pure Si at 300K has a length of 10cm and an area of cross-section $1 c m^{2} .$ A battery of emf 2V is connected across its length. The mobility of electrons is $0.14 m^{2} V^{- 1} s^{- 1}$ and their number density is $1.5 \times 10^{16} m^{- 3} .$ The electron current is :- (mobility of holes $= 0.007 m^{2} V^{- 1} s^{- 1}$ )

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$6.72 \times 10^{- 4} A$

$6.72 \times 10^{- 7} A$

$6.72 \times 10^{- 6} A$

$6.72 \times 10^{- 5} A$

answer is D.

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Detailed Solution

$i = n e A U_{d} = n e A μ_{e} E = n e A μ_{e} \frac{V}{l}$

$= \frac{1.5 \times 10^{16} \times 1.6 \times 10^{- 19} \times 1 c m^{2} \times 0.14 \times 2}{10 c m} = 6.72 \times 10^{- 7} A$

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