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An intrinsic semiconductor has a resisti...

An intrinsic semiconductor has a resistivity of 0.50 `Omega` m at room temperature. Find the intrinsic carrier concentration if the mobilities of electrons and holes are `0.39 m^2 V^(-1) s^(-1)` and `0.11 m^2 V^(-1) s^(-1)` respectively

A

`1.2xx10^(18)//m^(3)`

B

`2.5xx10^(19)//m^(3)`

C

`1.9xx10^(20)//m^(3)`

D

`3.1xx10^(21)//m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `rho=0.50Omegam,mu_(e)=0.39m^(2)//Vs,`
`mu_(h)=0.11m^(2)//Vs`
The resistivity of intrinsic semiconductor is
`rho=(1)/(en_(i)(mu_(e)+mu_(h)))impliesn_(i)=(1)/(rhoe(mu_(e)+mu_(h)))`
Substituting the given values, we get
`n_(i)=(1)/((0.5)(1.6xx10^(-19))(0.39+0.11))=2.5xx10^(19)//m^(3)`
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