Waves, Sound, and Physical Optics unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
String fixed at both ends
Boundary conditions choose the frequencies
Diffraction and wavelength
Thin film: count the shifts
Thin film interference
Resonance
Double-slit interference
Effect of slit separation on fringe spacing
Double slit
Why a grating is sharper
Thin film thickness for constructive reflection
Anti-reflective coatings
Short answer 1. Define or explain: Why a closed pipe skips even harmonics
3 ptsShort answer 2. Define or explain: Single slit is reversed
3 ptsShort answer 3. Define or explain: Beats
3 ptsShort answer 4. Define or explain: Standing waves on a string
3 ptsFree response
10 ptsStudents determine the speed of sound in air using a tube closed at one end and open at the other, and a set of tuning forks of known frequency. For each fork, the students adjust the length of the air column until the sound is loudest, indicating resonance at the fundamental frequency. f (Hz) 256 320 384 448 512 L (m) 0.32 0.26 0.21 0.18 0.16
A(i). Explain why the air column resonates only at particular lengths for a given frequency. A(ii). Describe one step that would reduce experimental uncertainty.
B(i). Indicate what quantities the students should graph on the horizontal and vertical axes to obtain a straight line usable to determine the speed of sound. B(ii). Describe how the speed of sound is related to a feature of that graph.
C(i). Calculate the values to be plotted on the horizontal axis. C(ii). Describe the axis labels, with units, and the positions of the plotted points. C(iii). Describe the best-fit line.
D. Using the best-fit line described in part C, calculate an experimental value for the speed of sound in air.