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A block of pure Si at 300 K has a length of 10 cm and an area of cross-section 1 cm2. A battery of emf 2V is connected across it. The mobility of electrons is 0.14 m2V–1s–1 and their number density is 1.5×1016 m–3. The electron current is:-

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a

6.72×10−4A

b

6.72×10−5A

c

6.72×10−6A

d

6.72×10−7A

answer is D.

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Detailed Solution

E=Vl=2V0.1m=20Vm−1A=1.0cm2=1.0×10−4m2vd=μeE=0.14×20=2.8ms−1I=neAVd=1.5×1016×1.6×10−19×1.0×10−4×2.8=6.72×10−7A

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