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At room temperature in a pure germanium plate of area 2x10-4m2 and of thickness 1.2x10-3m  a potential of 5 V is applied across the faces. Concentration of carriers in germanium at room temperature is 1.6x106 per cubic metre. The mobilities of electrons and holes are 0.4m2V-1s-1 and 0.2m2V-1s-1 respectively. The heat energy generated in the plate in 100 second is

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a

2.4x10-11 J

b

3.4x10-11 J

c

5.4x10-11 J

d

6.4x10-11 J

answer is D.

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Detailed Solution

ne=nh=ni∴σ=nieμe+μh=1.6×1.6×0.6×10−13Current produced in germanium plate.I=JA=σE.A=σVdAHeat generated in the plate, H = V x I x t=5×1.28×10−13×100=6.4×10−11 joule
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At room temperature in a pure germanium plate of area 2x10-4m2 and of thickness 1.2x10-3m  a potential of 5 V is applied across the faces. Concentration of carriers in germanium at room temperature is 1.6x106 per cubic metre. The mobilities of electrons and holes are 0.4m2V-1s-1 and 0.2m2V-1s-1 respectively. The heat energy generated in the plate in 100 second is