Because sound is a wave, it\'s possible to make a diffraction grating for sound

Question

Because sound is a wave, it's possible to make a diffraction grating for sound from a large board of sound-absorbing material with several parallel slits cut for sound to go through. When 12 kHz sound waves pass through such a grating, listeners 9.0 m from the grating report "loud spots" 1.4 m on both sides of center Part A What is the spacing between the slits? Use 340 m/s for the speed of sound Express your answer to two significant figures and include the approp X MasteringPhysics: HW8b Google Chrome Secure https://session.masteringphysics.com/myct/item... Submitted Answers ANSWER 1: Deduction:-3% d0.20 Submit Previous Answers Requ est Answer d= 0.37 m incorrect. Try Again: 3 attempts remaining ANSWER 2: Deduction:-3% d= 0.24 m ide Feedback ANSWER 3: Deduction:-3% d= 0.20 m

Explanation / Answer

f = 12 kHz
= 12x 10^3 Hz
v = 340 m / s
m = 1

= v / f
= 0.0283 m or 2.83 cm

Next is to find .

tan = 1.4m/9m
= inverse tan (0.1556)
= 8.84 deg

dsin = m
d = m/sin
= 0.184 m = 18.4 cm

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

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