# A smooth surface produces …………….friction than a rough surface1) Less2) More3) Constant4) None of the above

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Hint: Friction is a force that always acts in the opposite direction of the applied force. It is sometimes called a necessary evil because we don’t want frictional force but at the same time earth cannot function without friction.

Complete step by step solution:
Here, smooth surface is a surface in which there are no holes or lumps. If we walk on a smooth surface there would be no heat generated due to the walking nor the sole of our shoes will be worn off also, if a surface does not have singular points on it, it is said to be a smooth surface. Smoothness of surface has a given condition: If the surface is parameterized in two variables u and v then it can be considered smooth if the tangential vectors in the directions of u and v satisfy:
${T_u} \times {T_v} \ne 0$ ;
A surface with a minimum amount of friction or no friction is said to be a smooth surface. As we know that the friction is the force which is opposing in nature, so in a smooth surface there would be no opposing or frictional resistance so , the object can move without any trouble (smoothly) whereas a rough surface is a surface in which there would be a major amount of frictional force present, also it has many singular points, ridges, lump , etc which cause a restrain on the motion of the object on which it is moving.

Final Answer: Option “1” is correct. A smooth surface produces less friction than a rough surface.

Note: Here, we need to explain the friction first and then we need to define smooth and rough surfaces and their properties and also provide the conditions of a surface to be called smooth or rough. Compare the surfaces on the basis of friction.