Two loudspeakers, a and b, are driven by the same amplifier and emit sinusoidal waves in phase. speaker b is 2.00 m to the right of speaker a. consider point q along the extension of the line connecting the speakers, 1.00 m to the right of speaker b. both speakers emit sound waves that travel directly from the speaker to point q. a) what is the lowest frequency for which constructive interference occurs at point q? b) what is the lowest frequency for which destructive interference occurs at point q?

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒

Explain what it means to view something from a frame of reference. provide an example that illustrates your explanation. (4 points)

What is the increase in density of a medium due to wave travel?