A steel wire of length 2.08 m with circular cross section must stretch no more than 0.200 cm when a tensile (stretching) force of 380 N is applied to each end of the wire. What minimum diameter is required for the wire? Express your answer in millimeters. Take Young's modulus for steel to be Y = 2.00×1011 Pa .

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).