Energy band gap of a semiconductor

What happens to the Energy Band Gap when a Semiconductor Diode is doped with impurities?
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At absolute zero temperature (0 Kelvin), a semiconductor behaves as a(n):
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In which biasing mode does a Semiconductor Diode have the smallest energy barrier and hence conduct electricity easily?
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When a Semiconductor Diode is reverse-biased, the width of the depletion region:
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The Energy Band Gap of a Semiconductor Diode determines its:
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