One mole of nickel (6 1023 atoms) has a mass of 59 grams, and its density is 8.9 grams per cubic centimeter. You have a long thin bar of nickel, 2.7 m long, with a square cross section, 0.06 cm on a side. You hang the rod vertically and attach a 27 kg mass to the bottom, and you observe that thebar becomes 1.38 cm longer. From thesemeasurements, it is possible to determine the stiffness of one inter-atomic bond in nickel.1) What is the spring stiffness of the entire wire, considered as asingle macroscopic (large scale), very stiff spring? 2) How many side-by-side atomic chains (long springs) are there in this wire? This is the same as the number ofatoms on the bottom surface of the nickel wire. Note that the cross-sectional area ofone nickel atom is (2.23 10-10)2 m2.3) How many interatomic bonds are there in one atomic chain running the length of the wire?4) What is the stiffness of a single interatomic "spring"?