Free electron theory — CSIR Net PYQ (Question 1)

A Free electron theory previous-year question (PYQ) from Solid State Physics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 1 of 5 · 5.0 marks

A thin metal film of dimension

2 mm \times 2 mm

contains

4 \times 10^{12}

electrons. The magnitude of the Fermi wavevector of the system, in the free electron approximation, is

1 $2 π \times 10^{7} c m^{- 1}$
2 $2 π \times 10^{7} c m^{- 1}$
3 $π \times 10^{7} c m^{- 1}$
4 $2 π \times 10^{7} c m^{- 1}$

Correct answer: Option 2

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