## College Physics (4th Edition)

The ratio of A's frequency to B's frequency is $\frac{3}{4}$
In A's column, the next-to-lowest resonant frequency has a wavelength of $\lambda_3 = \frac{4L}{3}$. We can find an expression for the frequency of tuning fork $A$: $f_A = \frac{v}{4L/3} = \frac{3v}{4L}$ In B's column, the next-to-lowest resonant frequency has a wavelength of $\lambda_2 = \frac{2L}{2} = L$. We can find an expression for the frequency of tuning fork $B$: $f_B = \frac{v}{L}$ We can find the ratio of A's frequency to B's frequency: $\frac{f_A}{f_B} = \frac{3v/4L}{v/L} = \frac{3}{4}$ The ratio of A's frequency to B's frequency is $\frac{3}{4}$