Final answer:
The question pertains to Physics, focusing on the wave speed, tension, wavelength, frequency, and period of waves on a string. Formulas relating tension, linear mass density, and frequencies are used to solve problems in wave mechanics.
Step-by-step explanation:
The question belongs to the subject of Physics, specifically dealing with waves on strings, which is a part of mechanics and wave motion. In physics, the wave speed on a string can be determined by the formula √(T/μ), where T is the tension and μ is the linear mass density of the string. For a standing wave to be formed on a string that is fixed at both ends, the wavelength must be such that an integer number of half wavelengths fit into the length of the string.
The frequency of a wave is calculated using the formula v/λ, where v is the wave speed and λ is the wavelength. The period of a wave is the reciprocal of the frequency. Factors such as the tension in the string, the linear mass density, and the frequency of vibration all play roles in determining the characteristics of the wave produced on a string. Examples given in the question pertain to finding these values given different parameters such as tension, mass of the string, length, and mode of resonance.