Suppose a new synthetic material is specically designed to have an unusual combination of properties such that its Young's modulus is Y = 108 Pa and its coeicient of linear thermal expansion is a = 2 X 102 Kl. A test is performed with a thin wire of this material that has a cross-sectional area of 2.5 x 10'7m2, a (non-negligible) mass of 0.2 kg, and a length of 80 cm when at 20 C. While at this temperature, this wire is hung vertically from a ceiling and an ornament of mass 1 kg is suspended from its bottom causing it to stretch a bit. The wire is so thin that any change in its cross-sectional area when stretched is negligible. Assume all values are known to at least three signicant gures. (a) Determine how long it would take a wave pulse (transverse) to travel from the bottom of the wire to the top. (b) Now suppose the same test is performed with this wire, except that it is heated from 20 C to 35 C before being connected to the ceiling and ornament. In this second test, how long will it take a wave pulse to travel from the bottom to the top of the wire