Q. One of the beams of an interferometer, as seen in the figure below, passes through a small glass container containing a cavity D = 1.29 cm deep. When a gas is allowed to slowly fill the container, a total of 229 dark fringes are counted to move past a reference line. The light used has a wavelength of 628 nm. Calculate the index of refraction of the gas, assuming that the interferometer is in vacuum.
Q. A 200 g block hangs from a spring with spring constant 10 N/m. At t=0 s the block is 23 cm below the equilibrium point and moving upward with a speed of 125 cm/s. What are the block's oscillation frequency? What is the block's distance from equilibrium when the speed is 57 cm/s? What is the block's position at t=2.0s?