Tight binding model — CSIR Net PYQ (Question 2)

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

Question 2 of 12 · 5.0 marks

For an electron moving through a one-dimensional periodic lattice of periodicity

a

, which of the following corresponds to an energy eigenfunction consistent with Bloch's theorem?

1 $ψ (x) = A e x p (i [\frac{π X}{a} + cos (\frac{π X}{2 a})])$
2 $ψ (x) = A e x p (i [\frac{π x}{a} + cos (\frac{2 π x}{a})])$
3 $ψ (x) = A e x p (i [\frac{2 π x}{a} + i cos h (\frac{2 π x}{a})])$
4 $ψ (x) = A e x p (i [\frac{π x}{a} + i \frac{π x}{2 a}])$

Correct answer: Option 2

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This Tight binding model PYQ is part of the Solid State Physics section of CSIR Net. Browse more Tight binding model questions or join the PhysicsByAaryan live batch for full conceptual coverage.