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Why Is a Rainbow Curved Instead of a Full Circle?

Answer

The rain just stopped. You look up and there it is: a curved, colourful arch across the sky.

Guess first: is a rainbow a ribbon in the sky, or a circle?

1. Sunlight enters a raindrop and bends

When sunlight enters a raindrop it gets bent — that is called refraction.

2. It bounces off the back, then bends again on the way out

The light reflects off the inside back of the drop, then bends once more as it leaves. Each colour bends by a different amount, so red ends up on the outside and violet on the inside.

3. Every drop that shows you a rainbow sits on the same cone

The light leaves at about 42° from the line between your head and your shadow. Those drops form a cone, and the base of that cone is a circle whose centre is where your shadow falls.

Guess with me

  1. Guess: from an aeroplane, can you see the bottom half of a rainbow?
  2. Try: stand with your back to the Sun, spray a fine mist, and turn slowly until you find that 42°.
  3. Ask: why is red on the outside of a rainbow and violet on the inside?

So a rainbow really is a full circle. Standing on the ground, you only get to see the top half.

Send your answer to Michael

Thought about the three questions? Write to me — I will answer a few in the next post.

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I'm Michael

I thought rainbows were ribbons painted in the sky. They are circles — the ground was hiding half of them.

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