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How rainbows form

🔬 ScienceSimple🌐 English~1 min
How rainbows form
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Transcript

Why do rainbows only appear when the Sun is behind you?

How do rainbows form?
AI illustration (FLUX.2 on Cloudflare)

A rainbow happens when sunlight enters a raindrop, bounces inside, and comes back out toward your eye.

Sun behind, rainbow ahead
Sun behind, rainbow ahead · AI illustration (FLUX.2 on Cloudflare)
Light path through one drop
Light path through one drop · AI illustration (FLUX.2 on Cloudflare)

When light enters a water droplet, it bends. Each colour bends by a slightly different amount.

Refraction: bending at entry
Refraction: bending at entry · AI illustration (FLUX.2 on Cloudflare)
Each colour bends differently
Each colour bends differently · AI illustration (FLUX.2 on Cloudflare)

Inside the droplet, the light bounces off the back surface like a mirror. As the light exits the droplet, it bends again. Red exits at a different angle than violet.

Refraction: bending at exit
Refraction: bending at exit · AI illustration (FLUX.2 on Cloudflare)
Millions of drops, same angles
Millions of drops, same angles · AI illustration (FLUX.2 on Cloudflare)

Red light exits at about 42 degrees from the incoming sunlight direction. Violet light exits at about 40 degrees, a smaller angle. So red always appears on the outside of the rainbow arc, and violet on the inside.

Red outside, violet inside
Red outside, violet inside · Photo: Nadezhda Moryak / Pexels

The rainbow is always opposite the Sun. If the Sun is behind you, the rainbow is in front of you.

Sun at your back
Sun at your back · AI illustration (FLUX.2 on Cloudflare)
Sun in front: no rainbow
Sun in front: no rainbow · AI illustration (FLUX.2 on Cloudflare)

The centre of the rainbow arc is always on a straight line from the Sun through your eye.

Diagram Sun → Your eye → Rainbow centre

Sometimes you see a second, fainter rainbow outside the first one, about 10 degrees further out. This happens when light bounces twice inside the droplet instead of once. Here is a real example: you are standing in a garden with the Sun behind you at 4 p.m.

  • Primary and secondary arcs
Garden rainbow at sunset
Garden rainbow at sunset · AI illustration (FLUX.2 on Cloudflare)

Rainbows form when sunlight refracts, reflects inside water droplets, and refracts again, separating colours by angle.

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