College Physics (4th Edition)

We can rank the standing waves in order of frequency, from largest to smallest: $e \gt b \gt c \gt a = d$
We can write an expression for the frequency in each case: (a) $f_1 = \frac{v}{\lambda_1} = \frac{v}{4L}$ (b) $f_3 = \frac{v}{\lambda_3} = \frac{v}{4L/3} = \frac{3v}{4L}$ (c) $f_1 = \frac{v}{\lambda_1} = \frac{v}{2L} = \frac{2v}{4L}$ (d) $f_1 = \frac{v}{\lambda_1} = \frac{v}{4L}$ (e) $f_2 = \frac{v}{\lambda_2} = \frac{v}{L} = \frac{4v}{4L}$ We can rank the standing waves in order of frequency, from largest to smallest: $e \gt b \gt c \gt a = d$