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A block of pure silicon at 300 K has a l...

A block of pure silicon at `300 K` has a length of `10 cm` and an area of `1.0 cm^(2)`. A battery of emf `2V` is connected across it. The mobility of electron is `0.14 m^(2) v^(-1) S^(-1)` and their number density is `1.5 xx 10^(16) m^(-3)`. The mobility of holes is `0.05 m^(2) v^(-1) S^(-1)`.
The electron current is

A

`6.72xx10^(-4)` A

B

`6.72xx10^(-5)` A

C

`6.72xx10^(-6)` A

D

`6.72xx10^(-7)` A

Text Solution

Verified by Experts

The correct Answer is:
D
As `E=V/l=(2V)/(0.1 m) =20 V m^(-1)`
`A=1.0 cm^2=1.0xx10^(-4) m^2`
`v_e=mu_e E=0.14xx20=2.8 m s^(-1)`
The electron current is
`I_e=n_eAeV_e`
`=(1.5xx10^16)xx(1.0xx10^(-4))xx(1.6xx10^(-19))xx2.8`
`=6.72xx10^(-7) A`
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