Following the concept and fundamentals of Diagram 3 represents the direction of the motion of particle X at the instant. Hence, option (3) is correct.
What is Transverse Wave?
A wave whose direction of vibration in a medium is always perpendicular to the direction of its propagation is known as the transverse wave.
Clearly, the prime concept behind the transverse wave is that it should make an angle of 90 degrees with its propagation and the vibration in a medium.
From the given diagrams of the transverse waves, diagram 1 and diagram 2 are the waves that are propagation along the direction of vibration. So, they are not correct diagrams to represent a transverse wave.
On the other hand, diagrams 3 and 4 are having propagation at right angles to vibration, but conceptually diagram 3 represents the direction of the motion of particle X at the instant.
Thus, we can conclude that diagram 3 represents the direction of the motion of particle X at the instant. Hence, option (3) is correct.
Learn more about the transverse wave here:
https://brainly.com/question/3813804
