Question:
Identify the WRONG statement from the following. In an intrinsic semiconductor
Identify the WRONG statement from the following. In an intrinsic semiconductor
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Recall how free carriers in an intrinsic semiconductor depend on temperature.
Updated On: Nov 13, 2026
- the number of free electrons increases with temperature.
- the number of free electrons is less than that in a conductor.
- there are no free electrons at absolute zero temperature.
- there are no free electrons at any temperature except absolute zero.
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept
In an intrinsic semiconductor, electrons are freed from the valence band by thermal energy, so the number of free electrons rises with temperature.
Step 2: Check each statement
(A) is true. (B) is true because a conductor has a huge number of free electrons. (C) is true because at \(0\ \text{K}\) all electrons are in the valence band.
Step 3: Check option D
At any temperature above absolute zero, some electrons gain enough energy to cross the band gap, so free electrons do exist. Statement (D) is therefore wrong.
Final Answer:
The wrong statement is that there are no free electrons at any temperature except absolute zero. \[ \boxed{\text{(D) }\text{there are no free electrons at any temperature except absolute zero}} \]
In an intrinsic semiconductor, electrons are freed from the valence band by thermal energy, so the number of free electrons rises with temperature.
Step 2: Check each statement
(A) is true. (B) is true because a conductor has a huge number of free electrons. (C) is true because at \(0\ \text{K}\) all electrons are in the valence band.
Step 3: Check option D
At any temperature above absolute zero, some electrons gain enough energy to cross the band gap, so free electrons do exist. Statement (D) is therefore wrong.
Final Answer:
The wrong statement is that there are no free electrons at any temperature except absolute zero. \[ \boxed{\text{(D) }\text{there are no free electrons at any temperature except absolute zero}} \]
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