Question

A very long string has a linear mass density of 5.00 g/m and is stretched to a tension of 8.0N. Waves with frequency 100 Hz and amplitude of 2.0 mm are generated at the end of the string. What is the node spacing of a resulting standing wave on the string?

Answer 1

The node spacing of the resulting standing wave on the string is 0.03 m.

Step-by-step explanation:

To find the node spacing of a resulting standing wave on a string, we need to first calculate the wavelength of the wave using the given information. The wavelength can be found using the formula:

Wavelength = 2L / n, where L is the length of the string and n is the mode number of the resonance.

Plugging in the values, we have:

Wavelength = 2 * 3.00 m / 100 = 0.06 m

Next, we can calculate the node spacing, which is half the wavelength:

Node spacing = Wavelength / 2 = 0.06 m / 2 = 0.03 m