Answer
a. Yes.
b. Yes.
c. No.
d. Yes.
e. No.
Work Step by Step
a. By shaking the end of the string at different frequencies, waves with different frequencies can be generated.
b. By shaking the end of the string at different frequencies, waves with different wavelengths can be generated. Higher frequencies correspond to shorter wavelengths, and lower frequencies to longer wavelengths.
c. The speed of a wave on a string, as shown in equation 15.14, depends on the tension and linear mass density. All waves traveling on that string have the same speed.
d. By shaking the end of the string with different amplitudes, waves with different amplitudes can be generated.
e. As seen in equation 15.1, the product of frequency and wavelength is the wave speed. All waves traveling on that string have the same speed. Two waves of the same frequency in the string must have the same wavelength.