A stretched string is fixed at both ends

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

A stretched string is fixed at both ends. When driven at a particular frequency, a standing-wave pattern with four equally spaced antinodes appears along a 1.20 m segment of the string. (a) Identify the harmonic number associated with this standing-wave pattern and justify your answer using the observed distribution of antinodes. (b) Calculate the wavelength of the waves on the string for this harmonic. (c) Determine the distance from the left end of the string to the first node encountered along the 1.20 m segment. (d) If the wave speed on this string is measured to be 160 m/s160\,\text{m/s}, compute the driving frequency that produces this standing-wave pattern.

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