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The number density of electrons and hole...

The number density of electrons and holes in pure silicon at `27^@` C are equal and its value is `2.0 xx 10^16 m^(-3)`. On doping with indium the hole density increases to `4.5xx 10^22 m^(-3)`, the electron density in doped silicon is

A

`10xx10^9 m^(-3)`

B

`8.89xx10^9 m^(-3)`

C

`11xx10^9 m^(-3)`

D

`16.78xx10^9 m^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
B

Using , `n_e=n_i^2`
Here, `n_i=2xx10^16 m^(-3) , rho=4.5xx10^22 m^(-3)`
`therefore n=n_i^2/rho=((2xx10^16)^2)/(4.5xx10^22)=8.89xx10^9 m^(-3)`
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