Kerstin photographs a standing wave on a lab cord: three equal swinging sections between the two clamped ends. Her worksheet says to mark every node and every antinode.
A standing wave diagram hides nothing. Every node and antinode sits in plain sight, once you know where to look.
Each swinging section between two motionless points is one loop. Kerstin's cord shows three loops.
Nodes sit where the cord never moves: at the two clamped ends, and at every meeting point of two loops.
On the photo the nodes are one at each end, plus two between the loops. 3 + 1 = 4, so three loops give four nodes.
Antinodes sit at the middle of each loop, where the cord oscillates with maximum amplitude.
Each loop holds exactly one antinode, so three loops give three antinodes.
A photo shows a standing wave with two loops between the clamped ends. Counting both ends, how many nodes does it have?
Nodes sit at both ends and wherever two loops meet.
2 + 1 = 3
Three nodes.
The same two-loop photo: how many antinodes does it have?
Each loop holds one antinode at its middle.
Two antinodes.
The cord shown holds a standing wave. Counting both clamped ends, how many nodes does the pattern have?
The cord shown holds a standing wave. How many antinodes does the pattern have?
The cord shown holds a standing wave. How many nodes sit between the two clamped ends, not counting the ends themselves?
The wire shown is clamped at both ends and holds a standing wave. Counting both ends, how many nodes does the pattern have?
The long demo cord shown holds a standing wave. How many antinodes does the pattern have?
Where along a standing wave do the antinodes sit?