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Engineering Physics · Q37

Solid State Physics

Engineering and GATE · Engineering Physics · question 37

Q37

Consider the energy E in the first Brillouin zone as a function of the magnitude of the wave vector k for a crystal of lattice constant a. Then

A.
the slope of E versus k is proportional to the group velocity
B.
the slope of E versus k has its maximum value at |k| = π/a
C.
the plot of E versus k will be parabolic in the interval (-π/a) < k < (π/a)
Answer
D.
the slope of E versus k is non-zero for all k the interval (-π/a) < k(π/a)

Answer: Option C

Solution

Answer: Option C
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