Physics
It is dangerous to observe Solar eclipse with naked eyes because

Infrared radiations from sun burn our retina
Ultraviolet radiations from Sun burn our retina
All radiations from sun initiate chemical reactions in eyes
Cosmic rays reach eyes more during the eclipse

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Physics
Radiocarbon is produced in the atmosphere as a result of

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

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