John ties a 15-m-long, 5 kg rope to a wall and stretches it out horizontally, placing it under a tension of 2000 n, which gives the rope a wave speed of 77.5 m/s. he then creates a wave in the rope by oscillating one end.

a) what is the frequency of the third harmonic for this rope?
b) what is the fundamental frequency of this rope?
c) what is the frequency of the third harmonic for this rope?

(a) and (c) Third harmonic frequency will be 7.75 Hz

(b) Fundamental frequency will be 2.5833 Hz

Explanation :

Mass of the rope m = 5 kg

(b) We have given length of the rope l = 15 m

Wave speed v = 77.5 m /sec

We know that frequency is given by

Here

So

(a) and (c) Frequency of the third harmonic of the rope will be = 3× fundamental frequency = 3×2.5833 = 7.75 Hz

waves moving from a fast medium to a slow medium will experience a reflection as light travels more slowly than red light. total internal reflection occurs when the critical angle is.