JEE MAIN - Physics (2017 - 8th April Morning Slot - No. 5)
What is the conductivity of a semiconductor sale having electron concentration of $$5 \times {10^{18}}\,\,{m^{ - 3}},$$ hole concentration of $$5 \times {10^{19}}\,\,{m^{ - 3}},$$ 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)
(Take charge of electronas 1.6 $$ \times $$ 10 $$-$$19 c)
1.68 ($$\Omega $$-m)$$-$$1
1.83 ($$\Omega $$-m)$$-$$1
0.59 ($$\Omega $$-m)$$-$$1
1.20 ($$\Omega $$-m)$$-$$1
Explanation
Conductivity of semiconductor,
$$\sigma $$ = e$$\left( {{\eta _e}{\mu _e} + \eta '{\mu _h}} \right)$$
= 1.6 $$ \times $$ 10$$-$$19 (5 $$ \times $$ 1018 $$ \times $$ 2 + 5 $$ \times $$ 1019 $$ \times $$ 0.01)
= 1.6 $$ \times $$ 1.05
= 1.68
$$\sigma $$ = e$$\left( {{\eta _e}{\mu _e} + \eta '{\mu _h}} \right)$$
= 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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