Carrier Dynamics in Energy Wavevector Space

In an E–k diagram, the slope of the energy vs. wavevector curve represents:
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Which physical quantity is directly proportional to the wavevector k in semiconductors?
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In a semiconductor, the bandgap energy (Eg) refers to:
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A flatter E–k curve around the conduction band minimum indicates:
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Which relation connects effective mass (m*) with the curvature of the E–k diagram?
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Among Si, GaAs, and Ge, which has the smallest bandgap energy at room temperature?
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If the curvature of the conduction band increases, what happens to the effective mass?
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For a semiconductor with Eg = 1.2 eV, what is the approximate photon wavelength corresponding to this bandgap?
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What happens to group velocity when the E–k curve becomes very steep near the conduction band edge?
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