Physics
Ball pen functions on the principle of :

Gravitational force
Viscosity
Boyle's Law
Surface tension

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Physics
Radiocarbon is produced in the atmosphere as a result of

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

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