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Q.

Find the current produces at room temperature  in pure germanium rod  of area 4×10−4m2  and thickness  2.4×10−3m. When the potential of  5V  is applied across  the faces. The concentration of  charge carriers with  germanium at room temperature  at  3.2×106  per  cubic metre.  The mobility of electron and hole  are 0.8m2v−1s−1  and  0.4m2v−1s−1 respectively.

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a

1.28×10−13A

b

2.56×10−13A

c

5.12×10−13A

d

9.4×10−13A

answer is C.

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Detailed Solution

Conductivity, σ=nieμe+μh⇒σ=3.2×106×1.6×10−19[0.8+0.4]=6.144×10−13Current, i=JA=σEA=σVdA=6.144×10−13×524×10−4×4×10−4⇒i=5.12×10−13A
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