Wave Speed Relations (v = νλ = ω/k = λ/T)
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v = νλ = ω/k = λ/T
What each symbol means
| Symbol | What it stands for |
|---|---|
| T | Time period (s) |
| k | Angular wave number (rad/m) |
| v | Wave speed or phase velocity (m/s) |
| λ | Wavelength — distance between two consecutive points of same phase (m) |
| ν | Frequency (Hz) |
| ω | Angular frequency (rad/s) |
When to use this
Universal relation for all progressive waves. Wave speed is determined by medium properties only, not by source. k = 2π/λ and ω = 2πν. In one time period T, the wave pattern advances by one wavelength λ. NCERT Eq. 14.12.