One end of a long rope is tied to a fixed vertical pole. The rope is stretched horizontally with a tension 8 N. Let us consider the length of the rope to be along X-axis. A sample harmonic oscillator at x = 0 generates a transverse wave of frequency 100 Hz and amplitude 2 cm along the rope. Mass of a unit length of the rope is 20 gm/m. Ignoring the effect of gravity, answer the following questions
Wavelength of the wave is

Options

A. The wave propagates with a fixed and any particle of the medium vibrates with the same fixed speed
B. The wave propagates with a fixed speed but any particle of the medium vibrates with a variable speed
C. The wave propagates with a variable speed but arty particle of the medium vibrates with some fixed speed
D. The wave propagates with a variable speed and arty particle of the medium also vibrates with a variable speed

Answer

B