Standing Wave Node Antinode Positions — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Standing Wave Node and Antinode Positions This formula defines the fixed positions of nodes (zero displacement) and antinodes (maximum displacement) along a standing wave pattern, typically fixed at both ends. A standing wave is formed by the superposition of two waves traveling in opposite directions. Nodes are points where the displacement amplitude is zero, resulting in the formula x node = n 2 . Antinodes are points where the displacement amplitude is maximum, resulting in the formula x antinode = (2n+1) 4 . The index n determines the specific position along the wave pattern. n must be a non-negative integer ( n=0, 1, 2, ) The wave must be standing and defined over a fixed length. Confusing the positions of nodes and antinodes (nodes are at n /2 , antinodes are at odd multiples of /4 ). Assuming the positions are continuous rather than discrete points defined by integer n . Forgetting that the formula assumes the wave is fixed at both ends, which dictates the boundary conditions.