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NEET UG PHYSICS MCQ: SEMI CONDUCTOR DEVICES

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A metallic surface with work function of 2  eV2\;eV, on heating to a temperature of 800 KK gives an emission current of 1  mA1\;mA. If another metallic surface having the same surface area, same emission constant but work function 4  eV4\;eV is heated to a temperature of 1600  K1600\;K, then the emission current will be
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Correct option: C
4 mAmA
Option D (4 mAmA) is correct because the emission current is proportional to T2e−ϕ/kTT^2 e^{-\phi/kT}, and with the given changes in work function and temperature, the current quadruples.

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