This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
C
The question asks what the viscosity of a liquid does not depend on. Viscosity is an intrinsic property of a fluid that measures its resistance to flow.
Let's analyze each option:
Both options B and C describe factors that the coefficient of viscosity does not depend on, while they do affect the viscous force. However, the area of the surface in contact (C) is a purely geometric factor, and intensive properties like viscosity are always independent of the extent or geometry of the system. For non-Newtonian fluids, viscosity can depend on the relative velocity (shear rate), making option B less universally true than C. Therefore, C is the most unequivocally correct answer.
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Viscosity is an intrinsic property of a fluid that measures its resistance to flow.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.