A jogger runs at 9 m/s, and is trailed by a bumblebee moving at 5 m/s and emitting a frequency of 270 Hz. What frequency does the jogger hear if the speed of sound in air was 336 m/s?

Amichelson interferometer operating at a 600 nm wavelength has a 3.02-cm-long glass cell in one arm. to begin, the air is pumped out of the cell and mirror m2 is adjusted to produce a bright spot at the center of the interference pattern. then a valve is opened and air is slowly admitted into the cell. the index of refraction of air at 1.00 atm pressure is 1.00028.how many bright-dark-bright fringe shifts are observed as the cell fills with air?