Question

1a. Derive a formula for the wavelength of a standing wave on a fixed string at both ends in terms of the number of antinodes, n, and the length of the string.

1b. For an aluminum rod, when a wave is set up in the rod, do you expect the ends of the rod to allow vibrations or not? Are they considered open or closed for displacement?

1c. Draw schematic pictures of the two longest wavelengths that could fit on the aluminum rod. Where would nodes occur? Where should you hold it to excite these wavelengths?

1d. Standing waves at n = { 5, 6, ..., 13} were found for a 120.0 +/- 0.1 Hz speaker vibrating a (1.304 +/- 0.005)m string at various hanging masses (representing the tension in the string). Use the slope of the best fit line to estimate the mass per unit length of the string.

Answer 1