A student holds a tuning fork oscillating at 257 Hz. He walks toward a wall at a constant speed of 1.41 m/s.
(a) What beat frequency does he observe between the tuning fork and its echo?
(b) How fast must he walk away from the wall to observe a beat frequency of 4.90 Hz?
33 m/s
v0 = speed of student
v = speed of sound in air
v = 343 m/s
Let original frequency will be f0.
Frequency received by wall
This frequency sound is reflected by the wall and is heard by the student.
Frequency received by student
(a) Frequency observed by student
Beat frequency = 259.12 -257 = 2.12 Hz
(b) If student walks away from wall, frequency observed by wall
Frequency received after reflection from wall by student
Beat frequency = 4.90 Hz
Frequency observed by student will be less than original = 257 – 4.90 = 252.10 Hz
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