The conductivity of a semiconductor sample having electron concentration of 5 × 10 18   electrons…

The conductivity of a semiconductor sample having electron concentration of 5×1018 electrons m-3, hole concentration of 5×1019 holes m-3, electron mobility of 2.0 m2 V-1 s-1 and hole mobility of 0.01 m2 V-1 s-1 is

(Take charge of an electron as 1.6×10-19 C )
 
  1. 1.83 Ω m-1
  2. 1.65 Ω m-1
  3. 1.20 Ω m-1
  4. 0.59 Ω m-1

Solution

The conductivity of a semiconductor is given by

σ=eneμe+nhμh

=1.6×10-195×1018×2+5×1019×0.01

=1.6×10-191019+0.05×1019

=1.6+1.05

=1.65 (Ω m)1

Asked in: JEE Main 2017 (08 Apr Online)

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