Explanation:
The density of a rope, d = 7.5 g/cm³
The cross-sectional area of the rope, A = 2 cm²
The tension in the rope, T = 100 N
One end is vibrated up and down with a frequency of 25 Hz.
(a) The velocity of the transverse wave in the rope is given by :
Mass per unit length will be :
So,
(b) Let is the wavelength of the rope. So,
So, the velocity of the transverse wave in the rope is 2.58 m/s and the wavelength is 0.103 m.