Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied…

Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field. If, for an N-type semiconductor, the density of electrons is 1019 m-3 and their mobility is 1.6 m2 V-1 s-1, then the resistivity of the semiconductor (since it is an N-type semiconductor contribution of holes is ignored) is close to:
  1. 0.2 Ω m
  2. 4 Ω m
  3. 2 Ω m
  4. 0.4 Ω m

Solution

Resistivity ρ=EJ=Eneυd=1neμ

μ= mobility

ρ=11019×1.6×10-19×1.6=12.56 Ω m

=0.4 Ω m

Asked in: JEE Main 2019 (09 Jan Shift 1)

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