To study the Doppler shift on your own, you take an electronic tone generating device that is set to a frequency of middle C $(262Hz)$ to a campus wishing well known as "The Abyss." When you hold the device at arm's length $(1\mathrm{.}0$ m $),$ you measure its intensity level to be $80\mathrm{.}0$ dB $.$ You then drop the tuner down the hole, listening to its sound as it falls.

a$.$ After the tuner has fallen for $5\mathrm{.}50$ s $,$ what frequency do you hear?

b$.$ What is the intensity level of the sound after $5\mathrm{.}50$ s$?$

c$.$ Estimate the time at which you can no longer hear the tuner. What is the last frequency which you hear? $V=at$