Physics homework help

A water molecule consists of an oxygen atom with two hydrogen atoms bound to it (Fig. P9.39). The angle between the two bonds is 106°. If the bonds are l = 0.100 nm long, where is the center of mass of the molecule? (Assume a standard coordinate system with the origin at the center of the oxygen molecule.)

• At what fractions of a wavelength do the first and second resonances occur?

• Using dimensional analysis, show that the quotient of speed and wavelength produces a unit similar to frequency.