Two transverse standing waves are shown in the drawing below. The strings have t

Question

Two transverse standing waves are shown in the drawing below. The strings have the same tension and length, but the bottom string is more massive. Which standing wave, if either, is vibrating at the higher frequency? a. The top standing wave has the higher frequency because the traveling waves have a smaller speed due to the smaller mass of the string. b. The top standing wave has the higher frequency, because the traveling waves have a larger speed due to the smaller mass of the string. c. Both standing waves have the same frequency, because the frequency of vibration does not depend on the mass of the string. d. The bottom standing wave has the higher frequency, because the traveling waves have a smaller speed due to the larger mass of the string. e. The bottom standing wave has the higher frequency, because the traveling waves have a larger speed due to the larger mass of the string.

Explanation / Answer

tension = T, length = L, mass = m speed of wave v = sqrt(T*L/m) T, L are the same for both strings so the smaller m, the larger v wavelength w = 2L frequency f = v/w = v/(2L) L is the same for both strings so the larger v, the higher f answer: b

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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