A horizontal stretched string

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, y(x,t)=(0.01 m)sin⁡[(62.8 m−1)x]cos⁡[(628 s−1)t]y(x, t) = (0.01 \text{ m}) \sin [(62.8 \text{ m}^{-1})x] \cos [(628 \text{ s}^{-1})t]. Assuming π=3.14\pi = 3.14, which statement(s) is (are) correct? (1) The number of nodes is 5 (2) The length of the string is 0.25 m (3) The maximum displacement of the midpoint of the string, from its equilibrium position is 0.01 m (4) The fundamental frequency is 100 Hz

Related theory

Browse the problem library