A siren emitting a sound of frequency 1060 Hz moves away from you toward the face of a cliff at a speed of 13 m/s. Take the speed of sound in air as 330 m/s.

(a) What is the frequency of the sound you hear coming directly from the siren? (Give your answer to at least one decimal place.)

(b) What is the frequency of the sound you hear reflected off the cliff? (Give your answer to at least one decimal place.)

(c) What is the beat frequency between the two sounds?

Is it perceptible (less than 20 Hz)?