Question

Why is the sky blue?

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Answer

Sunlight contains all visible wavelengths. As it passes through the atmosphere it collides with molecules of nitrogen and oxygen, which scatter it in all directions. The critical detail is that scattering is strongly wavelength dependent: shorter wavelengths scatter far more than longer ones, by a factor related to the fourth power of the frequency.

Blue and violet light therefore bounce around the atmosphere far more than red and orange, and reach your eye from every direction in the sky rather than only from the direction of the sun. The sky glows blue because you are seeing scattered short-wavelength light coming from everywhere.

A reasonable question is why the sky is not violet, since violet scatters even more strongly. Two reasons combine. The sun emits less violet than blue, and human eyes are considerably less sensitive to violet, with our cone response peaking well away from that end. The result our visual system constructs is blue.

The same mechanism explains sunsets, which is the satisfying part. When the sun is low, its light travels through much more atmosphere to reach you. Over that longer path the blue is scattered away almost entirely, leaving the longer wavelengths to continue. What remains is red and orange, which is why the sun itself appears red at the horizon while the overhead sky is still blue.

It also explains why the sky is black in space and on the moon: with no atmosphere there is nothing to scatter light, so you see only the direct source against darkness.

Clouds appear white rather than blue because their water droplets are much larger than air molecules and scatter all wavelengths roughly equally.

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