## College Physics (4th Edition)

(a) We can write an equation for the wave speed in the string: $v = \sqrt{\frac{T}{m/L}}$ Increasing the tension will increase the wave speed. We can write an equation for the frequency: $f = \frac{v}{\lambda}$ Increasing the wave speed will increase the frequency. (b) We can write an equation for the wavelength of the fundamental standing wave: $\lambda = 2L$ Changing the length of the string will change the wavelength. We can write an equation for the frequency: $f = \frac{v}{\lambda}$ Changing the wavelength will change the frequency. (c) We can write an equation for the wave speed in the string: $v = \sqrt{\frac{T}{m/L}}$ A different string could have a different tension or a different mass per length, which will result in a different wave speed along a different string. We can write an equation for the frequency: $f = \frac{v}{\lambda}$ Changing the wave speed will change the frequency.