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JEE PHYSICS MCQ: SEMI CONDUCTOR DEVICES

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Analyzing +4 | -1
A semiconducting material has a band gap of 1 eV1 \mathrm{~eV}. Acceptor impurities are doped into it which create acceptor levels 1 meV1 \mathrm{~meV} above the valence band. Assume that the transition from one energy level to the other is almost forbidden if kTk T is less than 1/501 / 50 of the energy gap. Also, if kTk T is more than twice the gap, the upper levels have maximum population. The temperature of the semiconductor is increased from 0 K0 \mathrm{~K}. The concentration of the holes increases with temperature and after a certain temperature it becomes approximately constant. As the temperature is further increased, the hole concentration again starts increasing at a certain temperature. Find the order of the temperature range in which the hole concentration remains approximately constant.
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Correct option: A
2020 to 230 K230 \mathrm{~K}
Option A (2020 to 230 K230 \mathrm{~K}) is correct because the hole concentration remains approximately constant within this temperature range, determined by the given conditions on kT and the band gap.

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