Physics
Radiocarbon is produced in the atmosphere as a result of

Action of ultraviolet light from the sun on atmospheric oxygen.
Action of solar radiations particularly cosmic rays on carbon dioxide present in the atmosphere.
Collision between fast neutrons and nitrogen nuclei present in the atmosphere.
Lightning discharge in atmosphere.

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Physics
The blue colour of sky is due to

Reflection of sunlight
Scattering of shorter wavelengths of sunlight in the atmosphere
Scattering of longer wavelengths of sunlight in the atmosphere
Refraction of sunlight

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