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If the number density of a free electron gas in three dimensions is increased eight times ,its fermi temperature will increase or decrease factor A) increase by a factor of 4 B) decrease by a factor of 4 C) increase by a factor of 8 D) decrease by a factor of 8?
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If the number density of a free electron gas in three dimensions is in...
Explanation:

Given:
Number density of free electron gas increased by 8 times.

Effect on Fermi Temperature:
When the number density of a free electron gas is increased, the Fermi temperature also increases. This is because Fermi temperature is directly proportional to the number density of the electron gas.

Calculation:
If the number density is increased by 8 times, the Fermi temperature will also increase by a factor of 8.
Therefore, the correct answer is:

C) increase by a factor of 8.
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If the number density of a free electron gas in three dimensions is increased eight times ,its fermi temperature will increase or decrease factor A) increase by a factor of 4 B) decrease by a factor of 4 C) increase by a factor of 8 D) decrease by a factor of 8?
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If the number density of a free electron gas in three dimensions is increased eight times ,its fermi temperature will increase or decrease factor A) increase by a factor of 4 B) decrease by a factor of 4 C) increase by a factor of 8 D) decrease by a factor of 8? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the number density of a free electron gas in three dimensions is increased eight times ,its fermi temperature will increase or decrease factor A) increase by a factor of 4 B) decrease by a factor of 4 C) increase by a factor of 8 D) decrease by a factor of 8? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the number density of a free electron gas in three dimensions is increased eight times ,its fermi temperature will increase or decrease factor A) increase by a factor of 4 B) decrease by a factor of 4 C) increase by a factor of 8 D) decrease by a factor of 8?.
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