A student has a small battery$-$powered alarm buzzer. The student throws the buzzer toward a stationary wall $($possibly due to frustration following a physics midterm examination$).$ The buzzer emits sound with a frequency of $274$ Hz$,$ and the wall reflects the sound. If the buzzer is moving directly away from the student $($and directly toward the wall$)$ with a speed of $3\mathrm{.}6$ m$/$s$,$ what beat frequency would the student hear?$$

The speed of sound is $340$ m$/$s$.$ The student stands still after throwing the buzzer.