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In a Pure Semiconductor, the Number of Conduction Election 6 × 1019 per Cubic Metre. How Many Holes Are There in a Sample of Size 1 Cm × 1 Mm? - Physics

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Question

In a pure semiconductor, the number of conduction election 6 × 1019 per cubic metre. How many holes are there in a sample of size 1 cm × 1 mm?

Short Note

Solution

Pure semiconductors are intrinsic semiconductors or semiconductors without any doping.
We know that for pure semiconductors, the number of conduction electrons is equal to the number of holes.
Number of electrons in volume 1 m3 = 6 × 1019

Number of holes in volume 1 m3 = 6 × 1019

Given volume:
V = 1 cm × 1 cm × 1 mm

\[\Rightarrow\] V = 1 × 10−2 × 1 × 10−2 × 10−3

\[\Rightarrow\] V = 10−7 m3
Now,
Number of holes in volume 10-7 m3 .

N = 6 × 1019 × 10−7 = 6 × 1012

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Chapter 23: Semiconductors and Semiconductor Devices - Exercises [Page 419]

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HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 23 Semiconductors and Semiconductor Devices
Exercises | Q 2 | Page 419

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