Question Detail
Question
Which equation represents the pressure variation (p) in a sound wave, given the particle displacement y = y_m sin(kx - ωt)?
Correct Answer
Option B is the correct answer.
Detailed Explanation
On page 15, under 'Travelling Longitudinal Waves,' it is derived that 'If we let Δρ = p... then p = -B(Δy/Δx)'. In the limit as Δx approaches 0, this becomes 'p = -B(∂y/∂x)'.
Hint
Find the relationship between pressure variation and particle displacement, specifically looking at the partial derivatives involved.