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Mobilities of electrons and holes in a s...

Mobilities of electrons and holes in a sample of intrinsic germanium at room temperature are `0.36 m^(2)//Vs` and `0.17 m^(2)//Vs`. The electron and hole densities are each equal to `2.5 xx 10^(19) m^(-3)`. The electrical conductivity of germanium is.

A

`0.47 S//m`

B

`5.18 S//m`

C

`2.12 S//m`

D

`1.09 S//m`

Text Solution

Verified by Experts

The correct Answer is:
C
`sigma =(1)/(rho)=e(mu_(e)n_(e)+mu_(h)n_(h))`.
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Mobilities of electorns and holes in a sample of intrinsic germanium at room temperature are 0.54m^(2)V^(-1)s^(-1) and 0.18m^(2)V^(-1)s^(-1) respectively. If the electron and hole densities are equal to 3.6xx10^(19)m^(-3) calculate the germanium conductivity.

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Knowledge Check

  • Mobility of electron and holes in a sample of intristic germanium at room temperature are 0.36m^(2)V^(-1)s^(-1) and 0.17 m^(2)V^(-1)s^(-1) . The electron and hole densities are each equal to 2.5xx10^(19) m^(-3) . The electrical conductivity of germanium is

    A
    `0.47Sm^(-1)`
    B
    `1.09 Sm^(-1)`
    C
    `2.12Sm^(-1)`
    D
    `4.24 Sm^(-1)`

  • The number densities of electrons and holes in a pure germanium at room temperature are equal and its value is 2xx 10^(16) per m^(3) . On doping with aluminium the hole density increases to 3.5 xx10^(22) per m^(3) , then the electron density in doped germanium is

    A
    `1.1xx10^(10)m^(-3)`
    B
    `2.2xx10^(9)m^(-3)`
    C
    `3.3xx10^(9)m^(-3)`
    D
    `4.4 xx 10^(9)m^(-3)`

  • The density of an electron-hole pair in a pure germanium is 3xx 10^(16) m^(-3) at room temperature. On doping with aluminium, the hole density increases to 4.5 xx 10^(22) m^(-3) . Now the electron density ( in m^(-3)) in doped germanium will be

    A
    `1xx10^(10)`
    B
    `2xx10^(10)`
    C
    `0.5 xx 10^(10)`
    D
    `4xx10^(10)`

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