You are standing a distance d = 1.10 m directly in front of one of the two louds

Question

You are standing a distance d = 1.10 m directly in front of one of the two loudspeakers in shown in the figure below. They are separated by a distance y = 2.3 m and both are playing a 591 Hz tone in phase. The room temperature is 20°C, which means that the speed of sound is 343 m/s. Walk (a) What is the wavelength of the sound waves? (b) What is the path length difference (as a positive number) for the sound that reaches you from the two speakers? (c) How many wavelengths is the path difference? (d) Are you standing in a location that is very quiet? O Yes O No You move to a new location a new distance d = 1.70 m directly in front of one of the two loudspeakers in shown in the figure below. (e) What is the new path length difference (as a positive number) for the sound that reaches you from the two speakers? (f) How many wavelengths is the path difference? (g) Are you standing in a location that is very quiet? O Yes O No

Explanation / Answer

part(a)

wavelength = speed/frequency = 343/591 = 0.58 m

-----------------------------

part (b)

path difference = sqrt(y^2+d^2) - d

path difference = sqrt(2.3^2+1.1^2) - 1.1 = 1.45 m

---------------------------

part (c)

number of wavelengths in path difference = 1.45/0.58 = 2.5

----------------------------------

part (d)

yes
--------------------------------------

(e)

path difference = sqrt(y^2+d^2) - d

path difference = sqrt(2.3^2+1.7^2) - 1.7 = 1.16 m

---------------------------

part (f)

number of wavelengths in path difference = 1.16/0.58 = 2

----------------------------------

part (g)

no
--------------------------------------

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.