Answer: 2*pi 2 *mu*f 2 *A 2 *sqrt(T/mu).
- A 2*pi<sup>2</sup>*f<sup>2</sup>*A<sup>2</sup>*sqrt(mu*T)
- B 2*pi<sup>2</sup>*f<sup>2</sup>*A<sup>2</sup>*T
- C pi<sup>2</sup>*f<sup>2</sup>*A<sup>2</sup>*sqrt(T/mu)
- D 2*pi<sup>2</sup>*mu*f<sup>2</sup>*A<sup>2</sup>*sqrt(T/mu)
Correct answer: D. 2*pi<sup>2</sup>*mu*f<sup>2</sup>*A<sup>2</sup>*sqrt(T/mu)
Explanation: Power = (1/2) mu omega<sup>2</sup> A<sup>2</sup> v = (1/2) mu (2pi f)<sup>2</sup> A<sup>2</sup> sqrt(T/mu) = 2*pi<sup>2</sup>*mu*f<sup>2</sup>*A<sup>2</sup>*sqrt(T/mu).
A standing wave forms from two identical waves travelling in opposite directions and interfering; nodes (always zero displacement) and antinodes (maximum displacement) stay fixed in place, unlike a travelling wave where the whole pattern moves.
Concept context
Wave types, superposition, standing waves, Doppler effect, and sound intensity.