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A specimen of silicon is to be made p-type semiconductor. For this one atom of indium, on an average, is doped in 5 x 107 silicon atoms. If the number density of silicon is 5 x 1028 atoms/m2, then the number of acceptor atoms per cm3 will be
  • a)
    2.5 x 1030
  • b)
    1.0 x 1013
  • c)
    1.0 x 1015
  • d)
    2.5 x 1036
Correct answer is option 'C'. Can you explain this answer?
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A specimen of silicon is to be made p-type semiconductor. For this one...
Number of acceptor atoms/cm3
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A specimen of silicon is to be made p-type semiconductor. For this one...


Given Data:
- Number density of silicon (n) = 5 x 10^28 atoms/m^3
- Doping concentration (n_d) = 1 atom of indium in 5 x 10^7 silicon atoms

Calculations:
1. Number of silicon atoms doped with indium per m^3:
- Number of indium atoms = 1
- Number of silicon atoms doped = 5 x 10^7
- Total number of doped atoms = 1 + 5 x 10^7 = 5 x 10^7
2. Number of acceptor atoms per m^3:
- Number of acceptor atoms = Number of doped atoms
- Number of acceptor atoms = 5 x 10^7

3. Converting the number of acceptor atoms per m^3 to per cm^3:
- 1 m^3 = 10^6 cm^3
- Number of acceptor atoms per cm^3 = 5 x 10^7 / 10^6 = 5 x 10^1 = 50

Final Answer:
The number of acceptor atoms per cm^3 will be 50, which is equivalent to 5 x 10^1 or 1 x 10^2. Therefore, the correct option is (c) 1.0 x 10^15.
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A specimen of silicon is to be made p-type semiconductor. For this one atom of indium, on an average, is doped in 5 x 107 silicon atoms. If the number density of silicon is 5 x 1028atoms/m2, then the number of acceptor atoms per cm3 will bea)2.5 x 1030b)1.0x 1013c)1.0x 1015d)2.5 x 1036Correct answer is option 'C'. Can you explain this answer?
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