Rise of oil a wick is due to

Density of the oil
Viscosity of the oil
Surface tension of the oil
Pressure of the oil
Surface tension of the oil  The phenomenon of rise or fall of liquid in a capillary tube is called capillarity. Oil rises through a wick due to capillarity. The narrow pores in the threads of a wick act like tiny capillaries, through which oil rises. Capillary action is the result of adhesion and surface tension.

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