Question

A horizontal wire is tied to supports at each end and vibrates in its second-overtone standing wave. The tension in the wire is 5.00 N , and the node-to-node distance in the standing wave is 6.78 cm .

Answer 1

This question involves finding the wave speed, wavelength, frequency, and period of a standing wave on a string.

Step-by-step explanation:

In this question, we are given the length of a string, the tension in the string, and the number of nodes and antinodes in a standing wave. We are asked to find the wave speed, wavelength, frequency, and period of the standing wave.

The wave speed can be calculated using the formula v = √(FT/μ), where FT is the tension in the string and μ is the linear mass density of the string. The wavelength can be found using the formula λ = 2L/n, where L is the length of the string and n is the number of nodes or antinodes. The frequency can be calculated using the formula f = v/λ, and the period can be found using the formula T = 1/f.