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Q.

The typical ionisation energy of donor level in silicon is

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a

10.0 eV

b

1.0 eV

c

0.1 eV

d

0.001 eV

answer is C.

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Detailed Solution

When donor impurity (+5 valence) added to a pure silicon (+4 valence), the +5 valence donor atom sits in the place of + 4 valence silicon atom. So it has a net additional + 1 electronic charge. The four valence electron form covalent bond and get fixed in the lattice. The fifth electron (with net - I electronic charge) can be approximated to revolve around + 1 additional charge. The situation is like the hydrogen atom for which energy is given by E=13.6n2eV. the case of hydrogen, the permittivity was taken as ε0.
However, if the medium has a permittivity εr, relative to ε0, then E=13.6εr2n2eV.
For Si, εr= 12 and for n = I, E = 0. 1 eV

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