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Question: A silicon specimen is made into a P-type semi-conductor by doping, on an average, one Indium atom pe...

A silicon specimen is made into a P-type semi-conductor by doping, on an average, one Indium atom per 5×1075 \times 10^{7} silicon atoms. If the number density of atoms in the silicon specimen is 5×10285 \times 10^{28} atoms/m3, then the number of acceptor atoms in silicon will be

A

(a) 2.5×10302.5 \times 10^{30} atoms/cm3

A

(b) 1.0×10131.0 \times 10^{13} atoms/cm3

A

(c) 1.0×10151.0 \times 10^{15} atoms/cm3

A

(d) 2.5×10362.5 \times 10^{36} atoms/cm3

Explanation

Solution

(c)

Number density of atoms in silicon specimen = 5 × 1028 atom/m3 = 5 × 1022 atom/cm3

Since one atom of indium is doped in 5 × 107 Si atom. So number of indium atoms doped per cm‑3 of silicon.

n=5×10225×107=1×1015atom/cm3.n = \frac{5 \times 10^{22}}{5 \times 10^{7}} = 1 \times 10^{15}atom/cm^{3}.