Question

1) A string has a measured length of (267.7±0.2) cm and a mass of (0.7±0.1)g. The string is fixed to a support rod on one end and is passed over a pulley on the other end. A mass of (150.7±0.1)g is tied to the end of the string hanging over the pulley. The string is placed in contact with a vibrator unit near the support rod and a standing wave is produced on the string. For the vibrating string the following data were taken for the standing wave pattern: Frequency (Hz) Wavelength (m) 29 2.49 63 1.15 91 0.81 126 0.57 A) Use graph paper and plot these data points as wavelength vs. reciprocal frequency. B) From the slope of the graph of wavelength vs. reciprocal frequency (see Equation (11.8)) determine the propagation velocity of the wave on the string. C) Compare the velocity result of part B with the value for the propagation velocity as determined from the linear mass density ($mu$) and tension in the string (T).

          1) A string has a measured length of (267.7±0.2) cm and a mass of (0.7±0.1)g. The string is
fixed to a support rod on one end and is passed over a pulley on the other end. A mass of
(150.7±0.1)g is tied to the end of the string hanging over the pulley. The string is placed in
contact with a vibrator unit near the support rod and a standing wave is produced on the string.
For the vibrating string the following data were taken for the standing wave pattern:
Frequency (Hz)	Wavelength (m)
29	2.49
63	1.15
91	0.81
126	0.57
A) Use graph paper and plot these data points as wavelength vs. reciprocal frequency.
B) From the slope of the graph of wavelength vs. reciprocal frequency (see Equation
(11.8)) determine the propagation velocity of the wave on the string.
C) Compare the velocity result of part B with the value for the propagation velocity as
determined from the linear mass density ($mu$) and tension in the string (T).

1) A string has a measured length of (267.7±0.2) cm and a mass of (0.7±0.1)g. The string is
fixed to a support rod on one end and is passed over a pulley on the other end. A mass of
(150.7±0.1)g is tied to the end of the string hanging over the pulley. The string is placed in
contact with a vibrator unit near the support rod and a standing wave is produced on the string.
For the vibrating string the following data were taken for the standing wave pattern:
Frequency (Hz) Wavelength (m)
29 2.49
63 1.15
91 0.81
126 0.57
A) Use graph paper and plot these data points as wavelength vs. reciprocal frequency.
B) From the slope of the graph of wavelength vs. reciprocal frequency (see Equation
(11.8)) determine the propagation velocity of the wave on the string.
C) Compare the velocity result of part B with the value for the propagation velocity as
determined from the linear mass density (mu) and tension in the string (T).

Added by John F.

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