The standing waves on a string of length L that is fixed at both ends have a speed v.The three lowest frequencies of vibration are
A)v/L,2v/L,and 3v/L
B)v/2L,v/L,and 3v/2L
C)$\lambda$/2,$\lambda$,and 3$\lambda$/2
D)L/v,2L/v,and 3L/v
E)$\lambda$/3,2$\lambda$/3,and 3$\lambda$/3

Question

Quizplus · Accepted Answer

The frequencies of the standing waves on a string of length L fixed at both ends are given by f = nv/2L, where n is a positive integer. The three lowest frequencies are obtained for n = 1, 2, and 3.
Substituting n = 1, 2, and 3, we get:
f1 = v/2L
f2 = 2v/2L = v/L
f3 = 3v/2L
Hence, option B is correct.

The Standing Waves on a String of Length L That λ\lambdaλ

The Standing Waves on a String of Length L That $\lambda$