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QJEEM17Phe798: JEE Main 2017 Physics - Class 12 JEEM17Phe798 Solution: What is the conductivity of a semiconductor sale having…

What is the conductivity of a semiconductor sale having electron concentration of 5×1018  m−3,5 \times {10^{18}}\,\,{m^{ - 3}}, hole concentration of 5×1019  m−3,5 \times {10^{19}}\,\,{m^{ - 3}}, electron mobility of 2.0 m2 V −- 1 s-1 and hole mobility of 0.01 m2 V −- 1 s −- 1 ?

(Take charge of electronas 1.6 ×\times 10 −- 19 c)

Multiple Choice Options

  • A 1.68 ( Ω\Omega -m) −- 1
  • B 1.83 ( Ω\Omega -m) −- 1
  • C 0.59 ( Ω\Omega -m) −- 1
  • D 1.20 ( Ω\Omega -m) −- 1

Step-by-Step Verified Solution

Conductivity of semiconductor,

σ\sigma = e (ηeμe+η′μh)\left( {{\eta _e}{\mu _e} + \eta '{\mu _h}} \right)

= 1.6 ×\times 10 −- 19 (5 ×\times 1018 ×\times 2 + 5 ×\times 1019 ×\times 0.01)

= 1.6 ×\times 1.05

= 1.68

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