Question

What characteristics of a point on the string will you use to find the location of the node?

Answer 1

In order to solve the above question where we have to find the characteristics of a string used to find the location of a node, we will first discuss what is node. And also, nodes are a part of a standing wave. We will also discuss what is a standing wave.

Complete step-by-step solution:
To find the answer of the question given above where we have to find what characteristics of a point on a string, we will use to find the location of a node, let us first discuss what is node;
A node is defined as a point along a standing wave where the wave has minimum amplitude. For instance, in a vibrating guitar string, the ends of the string are nodes and by changing the position of the end node through frets, the guitarist changes the effective length of the vibrating string and thereby the note played. The opposite of a node is an antinode, which is a point where the amplitude of the standing wave is a maximum. These occur midway between the nodes.
Nodes are found at locations where the crest of one wave meets the trough of a second wave; or the half-crest of one wave meets the half-trough of a second wave; or the quarter-crest of one wave meets the quarter-trough of a second wave
Nodes and antinodes are the part of a standing wave so let us also discuss what is a standing wave?
Standing wave is defined as when two waves have same amplitude and frequency but are propagating in opposite direction
Nodes are the points which have zero amplitude so, the characteristic of a string that helps to find the location of nodes is the VELOCITY of the string.
Node is known as the point at which destructive interference takes place and antinode is a point where constructive interference takes place.

Note: While solving the above question given to us, we came across that we will use the velocity of the string in order to find out the location of the nodes in the string. And also, if we have to find out the location of any antinode in the string, we will use displacement of the string.