engineering physics MCQ #5222

The dispersion relation for phonons in a one-dimensional lattice is ω = ±√(4K/M) |sin(πk/2)|. What is the maximum frequency?

engineering physics MCQ #5222

  1. Question 1

    Q1. The dispersion relation for phonons in a one-dimensional lattice is ω = ±√(4K/M) |sin(πk/2)|. What is the maximum frequency?

    • A) √(4K/M)
    • B) √(2K/M)
    • C) 2√(K/M)
    • D) √(K/M)

    Answer: √(4K/M)

    Explanation: Maximum frequency occurs when sin(πk/2) = 1, so ω_max = √(4K/M).