Question Detail
Question
The document describes antinodes as points of maximum displacement in a standing wave. It states that these occur when kx = (2n + 1)π/2, where n is an integer. Given that k = 2π/λ, what are the positions of the antinodes?
Correct Answer
Option C is the correct answer.
Detailed Explanation
According to page 9 of the document, antinodes occur when kx = (2n + 1)π/2, where n = 0, 1, 2, .... Substituting k = 2π/λ into this equation: (2π/λ)x = (2n + 1)π/2. Solving for x, we get x = (2n + 1)π/2 * (λ/2π) = (2n + 1)λ/4. This is consistent with the 'antinodes' discussion on page 9.
Hint
Substitute the expression for k in terms of λ into the condition for antinodes, kx = (2n + 1)π/2, and solve for x.