A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance 1.21 Å between them. The wavelength of the standing wave is
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A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance 1.21 Å between them. The wavelength of the standing wave is

G1 Physics · Accepted Answer

Step 1: Write the stationary wave as y = 2A sin(kx) cos(ωt + φ) or 2A cos(kx) sin(ωt + φ). Step 2: Nodes satisfy the spatial factor = 0 and adjacent nodes are λ/2 apart; antinodes lie midway. Step 3: Apply the boundary conditions and harmonic number. Final: A: 1.21 Å.