Óptica geométrica y ondas · AP Physics 2 (Wave Optics)
Simulador de interferencia y difracción de ondas
Simulador de interferencia de doble rendija de Young y difracción por rendija simple
- Cálculo en cliente
- Sin registro
- Derivación en vivo
- Modo proyector
- Hoja de trabajo A4
Ventana de simulación 3D● 60 FPS
Variables de control del experimento
nm
mm
m
Derivaciones y métricas en tiempo real
Separación de franjas Δx
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Ancho de la franja central
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Diferencia de camino del 1.er máximo
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Descripción del patrón óptico
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Derivación de fórmulas en tiempo real
Fórmula básica:
--Sustitución de valores:
--Estado físico: --
Ejemplos clásicos y análisis de errores en exámenes
Worked Problem
Problema: In double-slit setup (d=0.2mm, L=1.0m), distance between 1st and 5th bright fringes is 10.0mm. Find wavelength.
Derivación paso a paso:
- 4 intervals: Δx = 10.0/4 = 2.5mm. Formula Δx = (L/d)λ => λ = (d/L)Δx = (0.0002/1.0)*0.0025 = 500nm.
Worked Problem
Problema: What pattern appears on the screen when white light is used in a double-slit experiment?
Derivación paso a paso:
- A central white maximum (zero path difference for all wavelengths), flanked by symmetrical colored spectrum bands.
Hoja de indagación en clase y tareas
Q1. Variant 1: What are path difference conditions for constructive and destructive interference?
Answer Key: Constructive (bright): path difference Δr = nλ. Destructive (dark): path difference Δr = (2n+1)(λ/2).
Q2. Variant 2: What three actions increase double-slit interference fringe spacing Δx?
Answer Key: From Δx = (L/d)λ: 1) Increase screen distance L; 2) decrease slit separation d; 3) use longer wavelength light (e.g. red).
Q3. Variant 3: What is the Poisson bright spot? How did Poisson's skepticism turn into victory for wave optics?
Answer Key: Diffraction behind an opaque disk forms a bright central spot in the shadow. Predicted to mock wave theory, experimental confirmation proved waves triumphantly.
Preguntas frecuentes y errores conceptuales
What is the hallmark difference between double-slit and single-slit patterns?
Double slit: equally spaced fringes with uniform contrast. Single slit: prominent central wide intense band with rapidly dimming narrow sidebands.
If one of the double slits is covered, what happens to the screen pattern?
The pattern converts from double-slit interference to a single-slit diffraction pattern with a broad central peak.
Why does the back of a DVD shimmer with rainbow colors in sunlight?
Diffraction and interference! Micron-scale concentric data tracks act as a reflection diffraction grating.
What optical phenomenon produces rainbow swirls on soap bubbles and oil slicks?
Thin-film interference. Reflections from front and back surfaces interfere constructively for specific wavelengths depending on local film thickness.