UnitConv

Lab Superposisi Gelombang

Tumpuk gelombang sinus dan saksikan mereka berinterferensi, melayang, dan diam — semuanya berdasarkan persamaan gelombang v = f·λ.

Ini adalah superposisi gelombang yang tepat — setiap titik adalah jumlah gelombang komponen, tanpa selubung palsu. Pilih prasetel atau tambahkan gelombang Anda sendiri, lalu atur amplitudo, panjang gelombang, frekuensi, dan fase. Gelombang identik yang sefase saling menggandakan (konstruktif), fase berlawanan saling meniadakan (destruktif), dua frekuensi berdekatan menghasilkan layangan, dan dua gelombang berlawanan arah membeku menjadi gelombang berdiri.

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Prasetel

Sistem

Komponen0

Gelombang terpilih

Ketuk cip gelombang di kanvas untuk membaca amplitudo, panjang gelombang, frekuensi, periode, k, ω, dan v = f·λ — serta menyesuaikannya secara langsung.

Rumus & sumber

y(x,t) = Σ Asin(kx ωt + φ)

v = fλ · k = 2π/λ · ω = 2πf

beat = |f f|

node spacing = λ/2

The units and constants behind these waves

One equation, v = f·λ, ties a wavelength you measure in metres to a frequency you count in hertz. Both of those units are defined by fixed constants, so every wave reading here is really a comparison against caesium and the speed of light.

What you are changing

The two constants under v = f·λ

  • ΔνCs = 9 192 631 770 Hz
    Caesium hyperfine frequency · defines the second — one hertz is one cycle per second, so every frequency is counted against this number
  • c = 299 792 458 m/s
    Speed of light in vacuum · defines the metre — and for radio and light it is the wave speed itself

The same equation, from a piano note to red light

WaveFrequencyWave speedWavelength
Concert A on a piano440 Hz343 m/s0.780 m
The top of human hearing20 kHz343 m/s17.1 mm
FM radio100 MHz299,792,458 m/s3.00 m
Wi-Fi2.4 GHz299,792,458 m/s0.125 m
Red light430 THz299,792,458 m/s697 nm

Wavelengths are computed live as λ = v/f. Sound uses 343 m/s (dry air at 20 °C); radio and light use the exact speed of light from our constants page.

A frequency reading is a count against caesium

Since 1967 the second has been defined by fixing the caesium-133 hyperfine transition at exactly 9 192 631 770 Hz. A hertz is one cycle per second — so when this lab shows 2 Hz, it means two cycles for every 9 192 631 770 caesium oscillations.

See the seven defining constants →

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