Physics
Electromagnetic waves are transverse in nature is evident by

Diffraction
Polarisation
Reflection
Interference

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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.
Lightning discharge in atmosphere.
Action of solar radiations particularly cosmic rays on carbon dioxide present in the atmosphere.

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