A wave can be propagated on a rope by holding one end of the rope and moving your hand up and down. The resulting wave is:
A)neither transverse nor longitudinal.
B)both transverse and longitudinal
C)longitudinal
D)transverse
D- Transverse
The resulting wave from moving your hand up and down on a rope is a transverse wave.
To understand why, let's first define what transverse and longitudinal waves are. In a transverse wave, the disturbance or oscillation is perpendicular (or transverse) to the direction of wave propagation. Think of a wave on a string, where the movement of the string is perpendicular to the direction the wave travels. In a longitudinal wave, the disturbance is parallel (or longitudinal) to the direction of wave propagation. An example of a longitudinal wave is sound waves, where the air particles vibrate back and forth in the same direction as the wave travels.
When you move your hand up and down on a rope, you create a transverse wave. As you move your hand up, the rope forms peaks or crests, and as you move your hand down, the rope forms troughs. The motion of the rope is perpendicular to the direction in which the wave travels along the rope. Therefore, the resulting wave is transverse.
So, the correct answer is D) transverse.